Hi. I was wondering if you could help me with a quick algebra 1 question? The y-intercept of -5x-2y=-20.

Question

I only need to know the y-intercept.

Answer 1

-5x-2y=-20

 

You can figure it out like this...

 

Multiply both sides by -1

5x + 2y =20

 

Subtract 5x from both sides:

2y = -5x + 20

 

Divide both sides by 2

y = - 5/2 x + 10

 

So the y-intercept is 10

 

 

Or, you can remember that when an equation is in standard form...

 

Ax + By = C

 

then the y-intercept is C/B

 

In this case it would be -20 / -2 = 10

 

 

Answer 2

put the equation in the slope-intercept form y=mx+b where m is the slope and b is the y-intercept

-5x-2y=-20

multiply both sides by -1

5x+2y=20

2y=-5x+20

divide both sides by 2

y=(-5/2)x+10

10 is the y-intercept