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)

use the coordinates of the labeled points to find a pointslope equation of the line 34 A Y43x3 B Y43x3 C Y43x3 D Y43x3 class=

Respuesta :

Answer:

option A. [tex]y+4=-3(x-3)[/tex]

Step-by-step explanation:

we know that

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

[tex]y-y1=m(x-x1)[/tex]

The point is (3,-4)

so substitute

[tex]y+4=m(x-3)[/tex]

The slope of the line of the graph is negative

calculate the slope

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

[tex]m=(-4-5)/(3-0)=-3[/tex]

substitute

[tex]y+4=-3(x-3)[/tex]