Question

Line A is represented by the equation, y=1/4x + 5. Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, -2).

Answer 1

y =
`(1)/(4)` x - 4

Explanation:

the equation of a line in slope- intercept form is

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

given the equation

y =
`(1)/(4)` x + 5 ← in slope- intercept form

with slope m =
`(1)/(4)`

• Parallel lines have equal slopes , then

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

to find c , substitute (8, - 2 ) for x and y into the partial equation

- 2 =
`(1)/(4)` (8) + c = 2 + c ( subtract 2 from both sides )

- 4 = c

y =
`(1)/(4)` x - 4 ← equation of parallel line