Question

A line passes through the point (8,-5) and has a slope of (3)/(2). Write an equation in slope intercept form for this line.

Answer 1

y =
`(3)/(2)` x - 17

Explanation:

the equation of a line in slope- intercept form is

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

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

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

to find c substitute (8, - 5 ) into the partial equation

- 5 =
`(3)/(2)` (8) + c = 12 + c ( subtract 12 from both sides )

- 17 = c

y =
`(3)/(2)` x - 17 ← equation of line