How to Graph Lines by Using Standard Form? (+FREE Worksheet!)

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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.

Graphing Lines Using Standard Form For education statistics and research

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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))

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Exercises for Graphing Lines Using Standard Form

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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For a full worked example with special cases and practice answers, see how to graph an equation in standard form.