Question

The eguation Y-3=-2(X+5) is written in point-slope form. What is the y-intercept of the line?

-13
-7
2
8

Answer 1

• B. -7

Explanation:

Given function:

• y - 3 = - 2(x + 5)

y-intercept is the point (0, y) where the line intersects y- axis

Finding y, at x = 0:

• y - 3 = - 2(0 + 5)
• y - 3 = - 10
• y = - 7

Correct option is B

Answer 2

-7

Explanation:

As it says, the equation is written in point-slope form (y-y1=m(x-x1). We'll convert the equation to slope intercept form (y=mx+b), as the b in that equation is the y intercept.

here's the equation:

y-3=-2(x+5)

do the distributive property on the right side

y-3=-2x-10

add 3 to both sides

y=-2x-7

since -7 is in the place of b, the y intercept is -7.

Hope this helps!