Question

Which equation is graphed?

Answer 1

C

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

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

and using (a, b ) = (2, - 4 ) , then

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

y + 4 = -
`(3)/(2)` (x - 2) → C