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

Learn how to graph lines by using the equation of the line in standard form.

How to Graph Lines by Using Standard Form? (+FREE Worksheet!)" width="512" height="240" />

Related Topics

• How to Find Midpoint
• How to Find Distance of Two Points
• How to Find Slope
• How to Graph Linear Inequalities
• How to Write Linear Equations

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: \((0,5)\)

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