Question

Which point lies on the line with point-slope equation y + 5 = 2(x + 8)?

A. (8,-5)
B. (-8,5)
C. (-8,-5)
D, (8,5)

Answer 1

answer is

C. (-8,-5)

y - y1 = m( x - x1)

so
y + 5 = 2(x + 8)?
in this case y1 = -5, x = -8

Answer 2

Explanation:

Alright, lets get started.

The equation is :

`y+5=2(x+8)`

If this line passes any point, that point must be satisfy with the equation of this line.

So, plugging the value of point (x,y) in this equation.

Once we plug (-8, -5) in the equation :

`-5+5=2(-8+8)`

`0 = 0`

It means, the point (-8, -5) is stisfying the equation of line.

So the answer is (-8, -5) option C : Answer

Hope it will help :)