Respuesta :

Answer:

(B)

Step-by-step explanation:

We have the equation:

[tex]y-3=-2(x+5)[/tex]

Convert into Slope Intercept Form:

[tex]y-3=-2(x+5)[/tex]

[tex]-2*x=-2x\\-2*5 = -10[/tex]

[tex]y-3=-2x-10[/tex]

[tex]y-3+3=-2x-10+3\\\boxed {y=-2x-7}[/tex]

Slope-intercept form is [tex]y=mx+b[/tex].

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:

y intercept is -7

Step-by-step 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