Question

What is the equation of the line in slope-intercept form that passes through point (0, −2) and is parallel to the line y = -1/2 + 6? Show all necessary steps.

Answer 1

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

Explanation:

the equation of a line in slope- intercept form is

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

y = -
`(1)/(2)` x + 6 ← is in slope- intercept form

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

• Parallel lines have equal slopes , then

slope of parallel line = -
`(1)/(2)`

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

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