Question

what is the equation of a line that is parallel to the line y=3/4x+2 and passes through the point (-2,8)?

Answer 1

D

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(3)/(4)` x + 2 ← is in slope- intercept form

with slope m =
`(3)/(4)`

Parallel lines have equal slopes , thus

y =
`(3)/(4)` x + c ← is the partial equation

To find c substitute (- 2, 8) into the partial equation

8 = -
`(3)/(2)` + c ⇒ c = 8 +
`(3)/(2)` =
`(19)/(2)`

Equation of parallel line is

y =
`(3)/(4)` x +
`(19)/(2)` → D