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

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

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=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Substitute the given points.

`y-3=(0-3)/(3-(-2))(x-(-2))`

`y-3=(0-3)/(3+2)(x+2)`

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

Thus Option 2 is correct.

`y-3=(-3)/(5)(x+2)` equation is in point-slope form and is depicted by the line in this graph