Question

Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5

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

with slope m =
`(1)/(2)`

• Parallel lines have equal slopes , then

y =
`(1)/(2)` x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 =
`(1)/(2)` (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y =
`(1)/(2)` x - 5 ← equation of parallel line