Question

Determine the slope intercept form of the equation of the line parrell to y=-4/3x+11 that passes through the point (-6,2)

Answer 1

y = -
`(4)/(3)` x - 6

Explanation:

The equation of a line in slope- intercept form is

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

y = -
`(4)/(3)` x + 11 ← is in slope- intercept form

with slope m = -
`(4)/(3)`

• Parallel lines have equal slopes, hence

y = -
`(4)/(3)` x + c ← is the partial equation of the parallel line

To find c substitute (- 6, 2) into the partial equation

2 = 8 + c ⇒ c = 2 - 8 = - 6

y = -
`(4)/(3)` x - 6 ← equation of parallel line