Question

find the equation of a line in slope intercept form that has a slope of -3/2 and passes through the point (-8, 3)

Answer 1

y = -
`(3)/(2)` x - 9

Explanation:

the equation of a line in slope- intercept form is

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

given slope m = -
`(3)/(2)` , then

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

to find c, substitute the point (- 8, 3 ) for x and y into the partial equation

3 = -
`(3)/(2)` (-8) + c = 12 + c ( subtract 12 from both sides )

- 9 = c

y = -
`(3)/(2)` x - 9 ← equation of line