Alg1ACP - Standard Form of Lines

Standard Form

Algebra 1 ACP

When you have standard form . . .

. . . Find the intercepts and graph!

How to you find the intercepts?

To find the X-INTERCEPT plug in 0 for Y and solve for X

To find the Y-INTERCEPT plug in 0 for X and solve for Y

Ex:  $4x-2y=12$  

Find the intercepts!

Ex:  $4x-2y=12$  

Find the intercepts!

When  $x=0$  
 $4\cdot0-2y=12$  
 $-2y=12$  
 $y=-6$  

When  $y=0$  
 $4x-2\cdot0=12$  
 $4x=12$  
 $x=3$  

Ex:  $5x-3y=-15$  

Find the intercepts!

Ex:  $5x-3y=-15$  

Find the intercepts!

When  $x=0$  
 $5\cdot0-3y=-15$  
 $-3y=-15$  
 $y=5$  

When  $y=0$  
 $5x-3\cdot0=-15$  
 $5x=-15$  
 $x=-3$  

Let's try one together

 $x-2y=8$  

Fill in the Blanks

What is the y-intercept? When x=0, what is y?

 $x-2y=8$  

 $x-2y=8$  

What is the y-intercept?

When  $x=0$  ,
 $0-2y=8$  

 $-2y=8$  
 $y=-4$  

Fill in the Blanks

What is the x-intercept? When y=0, what is x?

 $x-2y=8$  

 $x-2y=8$  
What is the x-intercept?

When  $y=0$  
 $x-2\cdot0=8$  
 $x=8$  

Multiple Choice

If the y-intercept is -4 and the x-intercept is 8, what points should I plot?

• (0, -4) and (0, 8)

• (-4, 0) and (8, 0)

• (0, -4) and (8, 0)

• (-4,0) and (0, 8)

Let's graph $x-2y=8$  

Y-intercept: (0, -4)

X-intercept: (8, 0)

Let's graph $x-2y=8$  

Y-intercept: (0, -4)

X-intercept: (8, 0)