Question

What is the equation of the line that passes through the point (-6, 5) and has a

slope of - 3/2

Answer 1

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

Explanation:

the equation of a line in slope- intercept form is

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

here m = -
`(3)/(2)` , then

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

to find c substitute (- 6, 5 ) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

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