Question

Select the correct answer.

Which equation is in point-slope form and depicts the equation of this line?

A.
`(y + 4) = -(1)/(3)(x + 1)`

B.
`(y −1) = -(1)/(3)(x − 2)`

C.
`(y−4) = -(5)/(3)(x− 1)`

D.
`(y+4) = (5)/(3)(x+ 1)`

Answer 1

d is the answer

Answer 2

D. `(y+4) = (5)/(3)(x+ 1)`

Step by step explanation

The given points are (-1, -4) and (2, 1)

Slope = (y2 - y1)/(x2 - x1)

= (1 - (-4)) / (2 - (-1))

= (1 + 4) / (2 +1)

m = 5/3

When two points are given, the equation of the line is

(y - y1) = m (x - x1)

y -(-4) = 5/3 (x - (-1))

y + 4 = 5/3 (x + 1)

The answer is (y+4) = (5)/(3)(x+ 1)

Thank you.