Question

Use the coordinates of the labeled points to find a point-slope equation of the line. (3,-4)

A. Y+4=-3(x-3)
B. Y-4=-3(x+3)
C. Y-4=3(x+3)
D. Y+4=3(x-3)

Answer 1

option A.
`y+4=-3(x-3)`

Explanation:

we know that

The equation of the line into slope point form is equal to

`y-y1=m(x-x1)`

The point is (3,-4)

so substitute

`y+4=m(x-3)`

The slope of the line of the graph is negative

calculate the slope

(0,5) and (3,-4)

`m=(-4-5)/(3-0)=-3`

substitute

`y+4=-3(x-3)`