Question

What is the equation of the line that is parallel to the given line and passes through the point (12,-2)

Answer 1

D. y=5/6x-12

Explanation:

Got Correct On MyPath.

Answer 2

D

Explanation:

Find the slope m of the graphed line using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (12, 6) ← 2 points on the line

m =
`(6+4)/(12-0)` =
`(10)/(12)` =
`(5)/(6)`

• Parallel lines have equal slopes, hence equation of parallel line in slope- intercept form is

y =
`(5)/(6)` x + b ( b is the y- intercept )

To find b substitute (12, - 2) into the equation

- 2 = 10 + b ⇒ b = - 2 - 10 = - 12

y =
`(5)/(6)` x - 12 ← equation of parallel line → D