Question 314842: how do we use the slope-intercept method in graphing linear equations?
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! The slope-intercept form of a line is  so you know the slope,  , and the y-intercept,  .
Plot the intercept (0,b).
The slope gives the change in y, divided by the change in x.
Here's how to handle it if the slope is a fraction, the slope is an integer, or the slope is in decimal form.
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If the slope is a fraction, take the denominator as a step in x.
Example:
You are starting at (0,3) and the slope is (4/5).
Move 5 places in x.
You will then move the numerator as the step in y.
Move 4 places in y.
(0,3)+(5,4)=(5,7)
Now you have two points and can plot the line.
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If the slope is an integer, take 1 step in x.
Then take the slope as the step in y.
(0,b)+(1,m)=(1,m+b)
Now you have two points and can plot the line.
Example:
(0,5)+(1,3)=(1,8)
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If the slope is a decimal, follow the previous instructions.
(0,b)+(1,m)=(1,m+b)
Now you have two points and can plot the line.
Example:
(0,2)+(1,-1.35)=(1,0.65)
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