Question

The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?

–13
–7
2
8

Answer 1

(B)

Explanation:

We have the equation:

`y-3=-2(x+5)`

Convert into Slope Intercept Form:

`y-3=-2(x+5)`

`-2*x=-2x\\-2*5 = -10`

`y-3=-2x-10`

`y-3+3=-2x-10+3\\\boxed {y=-2x-7}`

Slope-intercept form is
`y=mx+b`.

Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.

Option B should be the correct answer.

Answer 2

y intercept is -7

Explanation:

y - 3 = -2 (x+5)

This is point slope form

We want to get this to slope intercept form

y=mx+b where m is the slope and b is the y intercept

Distribute

y-3 = -2x-10

Add 3 to each side

y-3+3 = -2x-10+3

y = -2x-7

The slope is -2 and the y intercept is -7