Question

Which equation is graphed here?

Answer 1

y + 4 = -
`(3)/(2)` (x - 2)

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 4) ← 2 points on the line

m =
`(-4-2)/(2+2)` =
`(-6)/(4)` = -
`(3)/(2)`

Using (a, b ) = (2, - 4), then

y - (- 4) = -
`(3)/(2)` (x - 2), that is

y + 4 = -
`(3)/(2)` (x - 2)

Answer 2

The answer is y+4=-3/2(x+2)