Question

A line passes through the point (-8, 3) and has a slope of -3/2

Write an equation in slope-intercept form for this line

Answer 1

Answer:y = (3/4)x + 9

Explanation:

y - y₁ = m(x - x₁)

y - 3 = 3/4(x - (-8))

y - 3 = 3/4(x + 8)

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

y = (3/4)x + 9

Answer 2

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 )

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

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

to find c substitute (- 8, 3 ) 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