Question

fa line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

Answer 1

y = -
`(3)/(2)` x - 2

Explanation:

the equation of a line in slope- intercept form is

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

rearrange 2y = - 3x + 1 into this form

divide all terms by 2

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

with m = -
`(3)/(2)`

• Parallel lines have equal slopes

given y-intercept = - 2 ⇒ c = - 2

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