Question

Write the equation of the line that is parallel to the line y = -7/4x - 2 through the point (4,-2).

Answer 1

y = -
`(7)/(4)` x + 5

Explanation:

the equation of a line in slope- intercept form is

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

y = -
`(7)/(4)` x - 2 ← is in slope- intercept form

with slope m = -
`(7)/(4)`

• Parallel lines have equal slopes , then

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

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

- 2 = - 7 + c ⇒ c = - 2 + 7 = 5

y = -
`(7)/(4)` x + 5 ← equation of line