# How to Graph Lines by Using Standard Form

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

## 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 – 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 $$x$$.
$$y=0+2→y=2$$
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 $$x$$.
$$y=0+5→y=5$$
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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