Question

use the coordinates of the labeled point to find the point-slope equation the line (3,-5) A. y- 5 = -3(x+3) B. y-3=1/3(x+5) C. y+5)=-3(x-3) D. Y+5=3(x+3)

Answer 1

The answer is C. y+5=3(x-3)

Explanation:

Point Slope Form is y - y1 = m (x-x1)

Since -5 is a negative, it becomes a + when y is subtracted by it, so y+5. 3 then converts x-3!

Answer 2

`\large\boxed{C.\ y+5=-3(x-3)}`

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

We have the point:

`(3,\ -5)\to x_1=3,\ y_1=-5`

Substitute:

`y-(-5)=m(x-3)\\\\y+5=m(x-3)`