Question

Which of the following equations describes the line shown below? Check all

that apply. (-3,-6)(9,3)

Answer 1

C and D

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

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m =
`(3+6)/(9+3)` =
`(9)/(12)` =
`(3)/(4)`

Using (a, b ) = (9, 3 ) , then

y - 3 =
`(3)/(4)` (x - 9) → C

Using (a, b ) = (- 3, - 6 ), then

y - (- 6) =
`(3)/(4)` (x - (- 3) ) , that is

y + 6 =
`(3)/(4)` (x + 3) → D