Question

Find the equation of the line parallel to y= -1/3x+5 that goes through the point (9,-1)

Answer 1

y = -
`(1)/(3)` 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 )

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

with slope m = -
`(1)/(3)`

• Parallel lines have equal slopes , then

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

to find c substitute (9, - 1 ) into the partial equation

- 1 = -
`(1)/(3)` (9) + c = - 3 + c ( add 3 to both sides )

2 = c

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