Question

Which equation is in point-slope form and is depicted by the line in this graph?

(y−3)=3/5(x−2)

(y−3)=−3/5(x+2)

(y−3)=5/3(x−2)

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

Answer 1

(y−3)=−3/5(x+2) is the answer

Answer 2

Answer:

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

Step-by-step explanation:

Points : (-2,3) and ( 3,0)

Let $(x_1,y_1)=(-2,3)$

$(x_2,y_2)=(3,0)$

Two point slope form : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the given points.

$y-3=\frac{0-3}{3-(-2)}(x-(-2))$

$y-3=\frac{0-3}{3+2}(x+2)$

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

Thus Option 2 is correct.

$y-3=\frac{-3}{5}(x+2)$ equation is in point-slope form and is depicted by the line in this graph