How to Graph Lines by Using Standard Form? (+FREE Worksheet!)
How to graph lines by using standard form, step by step: the rule in plain language, solved examples worked one line at a time, and practice questions so you can try it yourself before moving on.
Learn how to graph lines by using the equation of the line in standard form.
Watch this practice video for additional examples and reinforcement:
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Step by step guide to graphing lines using the standard form
- Find the (x)-intercept of the line by putting zero for (y).
- Find the (y)- intercept of the line by putting zero for the (x).
- Connect these two points.
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Graphing Lines Using Standard Form, Example 1:
Sketch the graph of (x-y= – 2)
Solution:
First isolate (y) for (x: x-y=-2→y=x+2)
Find the (x)−intercept of the line by putting zero for (y).
(y=x+2→x+2=0→x=-2 )
Find the (y)−intercept of the line by putting zero for the (x).
(y=x+2 → y=0+2→y=2 )
Then: (x)−intercept: ((-2,0)) and (y)−intercept: ((0,2))
Graphing Lines Using Standard Form, Example 2:
Sketch the graph of (x-y= -5).
Solution:
First isolate (y) for (x: x-y=-5→y=x+5)
Find the (x−)intercept of the line by putting zero for (y).
( y=x+5→x+5=0→x=-5 )
Find the (y−)intercept of the line by putting zero for the (x).
(y=x+5 → y=0+5→y=5)
Then: (x−)intercept: ((-5,0)) and (y−)intercept: ((0,5))
Exercises for Graphing Lines Using Standard Form
Sketch the graph of each line.
- (color{blue}{2x – y = 4})
- (color{blue}{x + y = 2})
- (color{blue}{2x – y = 4})
- (color{blue}{x + y = 2})
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