Question

40)Write an equation in point–slope form with the given slope and point:8/3, (2, 7).A. y =8/3 x – 7B. y + 7 =8/3 (x + 2)C. y – 7 =8/3 (x – 2)D. y + 2 =8/3 (x + 7)

Answer 1

The form of the point-slope equation is

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

m is the slope

(x1, y1) is a point on the line

Since the given slope is 8/3, then

$m=\frac{8}{3}$

Since the given point is (2, 7), then

$x_1=2,y_1=7$

Substitute them in the form above

$y-7=\frac{8}{3}(x-2)$

The answer is C