Question

write an equation in point-slope form for the line through thr given point with the given slope:

(-3,5); m=2/3

A. y + 3 = 2/3(x-5)

B. y + 5 = (2/3)(x+3)

C. y - 5 = 2/3(x-3)

D. y - 5 = 2/3(x+3)

Answer 1

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = $\frac{2}{3}$ and (a, b) = (- 3, 5), hence

y - 5 = $\frac{2}{3}$(x + 3) → D

Answer 2

Answer:

D. y - 5 = 2/3(x + 3)

Step-by-step explanation:

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

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

We have the slope 2/3 an the point (-3, 5). Substitute:

$y-5=\dfrac{2}{3}(x-(-3))\\\\y-5=\dfrac{2}{3}(x+3)$