Question

Which equation is parallel to y= 3/4x + 4 and passes through the point (0,2)

A. Y=4/3x - 2

B. Y=3/4x - 2

C. Y=3/4x + 2

D. Y= 4/3x + 2

Answer 1

C

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 + 4 ← is in slope- intercept form

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

Parallel lines have equal slopes, thus this is slope of parallel line.

The line crosses the y- axis at (0, 2) ⇒ c = 2

y =
`(3)/(4)` x + 2 → C