Question

write the equation in slope-interept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x +12

Answer 1

y = -
`(2)/(3)` x - 7

Explanation:

The equation of a line in slope- intercept form is

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

y = -
`(2)/(3)` x + 12 ← is in slope- intercept form

with slope m = -
`(2)/(3)`

Parallel lines have equal slopes, thus

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

To find c substitute (6, - 11) into the partial equation

- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7

y = -
`(2)/(3)` x - 7 ← equation of parallel line