How to graph with slope-intercept form?

Steps for graphing an equation using the slope and y-intercept: Find the y-intercept = b of the equation y = mx + b. Plot the y-intercept. The point will be (0, b). Find the slope=m of the equation y = mx + b. Make a single step, using the rise and run from the slope. ... Connect those two points with your line.

What is an example of a slope-intercept form?

The equation is y = mx + b . The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4).

How to find slope intercept?

In an equation in slope-intercept form ( y=mx+b ) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept form. For example, y=x can be rewritten as y=1x+0, so its slope is 1 and its y-intercept is 0.

What is the lesson of slope-intercept form?

Lesson Summary The slope intercept form, y = m x + b , immediately gives the slope and y-intercept. With the slope intercept form, the linear equation can be graphed easily. The y-intercept is a given point on the line, and the slope can be used to find other points on the line.

What are the rules for slope-intercept form?

Slope intercept form is y=mx+b , where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.

What is slope-intercept form for dummies?

So, it will look like: y = mx + b where "m" and "b" are numbers . This form of the equation is very useful. The coefficient of "x" (the "m" value) is the slope of the line. And, the constant (the "b" value) is the y-intercept at (0, b) So, if you are given an equation like: y = 2/3 (x) -5.

How do I write an equation into slope-intercept form?

To change the equation into slope-intercept form, write it in the form y = m x + b .

What is slope-intercept form in simple terms?

slope-intercept form. noun. : the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept .

How to write slope-intercept form with two points?

Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b .

What is the slope-intercept form example?

Example : The equation of a line is 3x + 4y + 5 = 0 . Determine the slope and y-intercept of the line using the slope intercept form. Solution: We re-arrange the equation of the line to write it in the standard form y = mx + b. Answer: The slope of the given straight line, m = -3/4 and the y-intercept, b = -5/4.

What does slope intercept tell you?

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x . The y-intercept indicates the y-value when the x-value is 0.

How to calculate the slope?

The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁) , where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Created by Sal Khan and Monterey Institute for Technology and Education.

How to graph a line using intercepts?

To graph a line, find the intercepts, if they exist, and draw a straight line through them . Use a straightedge to create the line and include arrows on either end to indicate that the line extends infinitely in either direction. Horizontal and vertical lines do not always have both x- and y-intercepts.

Graphing slope-intercept form (article)

Learn how to graph lines whose equations are given in the slope-intercept form y=mx+b.

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682060
6 years agoPosted 6 years ago. Direct link to 682060's post “How come if the negative ...”
How come if the negative sign is next to the fraction it causes the rise to be negative but not the run
Button navigates to signup page•Comment on 682060's post “How come if the negative ...”
(44 votes)
- Kim Seidel
  6 years agoPosted 6 years ago. Direct link to Kim Seidel's post “Think about the fraction ...”
  Think about the fraction as division... How do you get a negative number when dividing:
  a negative divided by a positive = a negative
  a positive divided by a negative = a negative
  As you can see, only one of the 2 numbers can be negative. Thus, for a slope like -4/5, you can apply the negative sign to the numerator which would tell you to go down 4 units, then right 5 units. Or, you can apply the negative to the denominator which would make you go up 4 units and left 5 units.
  If you make both numbers negative, then you are doing: negative divided by negative = positive. And, you would have a positive slope.
  Hope this helps.
  Comment on Kim Seidel's post “Think about the fraction ...”
  (94 votes)
wesley jones
6 years agoPosted 6 years ago. Direct link to wesley jones's post “i don't really get it why...”
i don't really get it why in the last exercise the slope is -3/2 you ad plus 2 for the change in x but minus 3 for the change in y.
Button navigates to signup page•Comment on wesley jones's post “i don't really get it why...”
(32 votes)
- Neilshet
  4 years agoPosted 4 years ago. Direct link to Neilshet's post “Because -3/2 is basically...”
  Because -3/2 is basically equal to minus 3 by PLUS 2
  See Also
  y = mx + b • Geradengleichung einfach erklärt Slope Intercept Form - Math Steps, Examples & Questions Understanding the Calibration Coefficients for Load Cells and Other Force-Measuring Devices | Morehouse Instrument Company, Inc.Slope-Intercept Form
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  (4 votes)
20nlion
4 years agoPosted 4 years ago. Direct link to 20nlion's post “im having some trouble......”
im having some trouble... anybody have some helpful tips hehehe
Button navigates to signup page•Comment on 20nlion's post “im having some trouble......”
(14 votes)
- Zachary Heaton
  7 months agoPosted 7 months ago. Direct link to Zachary Heaton's post “place you first point on ...”
  place you first point on the y axis +/-. Then turn the slope into a fraction.
  Slope: The positive or negative sign determine if the line goes up or down from the y intercept. Based on that, going left to right, if it is a negative travel down the numerator, travel right the denominator.
  Y=27/3x+1 Place first point on y axis at positive 1. Then travel up 27, then go right 3. Simplified, you would go up 9, and right 1.
  Comment on Zachary Heaton's post “place you first point on ...”
  (2 votes)
gjp100
3 years agoPosted 3 years ago. Direct link to gjp100's post “I don't have a clue on ho...”
I don't have a clue on how to do this
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(13 votes)
- David Severin
  3 years agoPosted 3 years ago. Direct link to David Severin's post “If you have an equation i...”
  If you have an equation in slope-intercept form, you know both a point (the y intercept) and the slope, so it should be relatively easy to graph especially with a little practice. So if you have y=3x-4, the slope is 3=3/1, the y intercept is (0,-4). We can plot the point by starting at the origin and counting down 4 to get to (0,-4) and put a dot at this point. With a slope of rise (up) 3 over run (right) 1, you get to (0+1,-4+3) which is (1,-1), and a second time (1+1,-1+3) which is (2,2) and you have three points to draw a line through. One more example, if you have y=-3/4x + 2, you have a point (0,2) and a slope of -3/4 (rise down 3 right 4). This gives a second point of (0+4,2-3) or (4,-1) and (4+4,-1-3) or (8,-4) to draw a line. So start with the y intercept, and count the slope from that point.
  Comment on David Severin's post “If you have an equation i...”
  (12 votes)
Devss
See Also
y = mx + b - What is Meaning of y = mx + b, How to Find Slope and Y-intercept
3 years agoPosted 3 years ago. Direct link to Devss's post “How do I graph a line if ...”
How do I graph a line if the slope isn't provided? Here is what I mean:
y=-x+6
How do I graph it if I do not know the slope? Thanks!
Button navigates to signup page•Comment on Devss's post “How do I graph a line if ...”
(13 votes)
- Ani V
  3 years agoPosted 3 years ago. Direct link to Ani V's post “When a variable doesn't h...”
  When a variable doesn't have a variable, it's safe to assume the variable is 1. So, -x would be -1x or -1/1x.
  Hope that makes sense!
  Comment on Ani V's post “When a variable doesn't h...”
  (10 votes)
Envy
3 years agoPosted 3 years ago. Direct link to Envy's post “Not to be that person but...”
Not to be that person but like When am I reallyyyyyyyyyyyy going to use this in everyday life?
Button navigates to signup page•Comment on Envy's post “Not to be that person but...”
(12 votes)
- Logan.Lewis
  a year agoPosted a year ago. Direct link to Logan.Lewis's post “my teacher says yes but h...”
  my teacher says yes but he is a goober so I don't know
  Button navigates to signup page
  (4 votes)
wesley jones
6 years agoPosted 6 years ago. Direct link to wesley jones's post “i don't really get it why...”
i don't really get it why in the last exercise the slope is -3/2 you ad plus 2 for the change in x but minus 3 for the change in y.
Button navigates to signup page•Comment on wesley jones's post “i don't really get it why...”
(8 votes)
mukhopadhyayaveri14
a year agoPosted a year ago. Direct link to mukhopadhyayaveri14's post “I can't understand how to...”
I can't understand how to graph an equation with a fraction y-intercept. Ex: y=2x-1/2
Button navigates to signup page•Button navigates to signup page
(4 votes)
- Kim Seidel
  a year agoPosted a year ago. Direct link to Kim Seidel's post “Put a point at (0, -1/2)....”
  Put a point at (0, -1/2). It is half-way between 0 and -1.
  Since the slope is 2, you move up 2 units and right 1.
  -- Up 1 unit takes you to 1/2, up 2 units takes you to 1 1/2 (halfway between 1 and 2).
  -- Then, go right 1 unit. You should now be at the point 1 1/2, 1)
  Hope this helps.
  Comment on Kim Seidel's post “Put a point at (0, -1/2)....”
  (10 votes)
2024oshiroc
3 years agoPosted 3 years ago. Direct link to 2024oshiroc's post “brah can sum1 help me I n...”
brah can sum1 help me I no understand um, Mahaloz
Button navigates to signup page•Comment on 2024oshiroc's post “brah can sum1 help me I n...”
(7 votes)
bail380001
a year agoPosted a year ago. Direct link to bail380001's post “what if the question is y...”
what if the question is y=x+4
Button navigates to signup page•Comment on bail380001's post “what if the question is y...”
(3 votes)
- Kim Seidel
  a year agoPosted a year ago. Direct link to Kim Seidel's post “Remember, "x" is the same...”
  Remember, "x" is the same as "1x". So, the slope of the equation is 1 and the y-intercept is (0,4).
  Hope this helps.
  Comment on Kim Seidel's post “Remember, "x" is the same...”
  (8 votes)

Graphing slope-intercept form (article) | Khan Academy (2024)

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