Question

A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.

Answer 1

y = -
`(5)/(2)` x + 11

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 = -
`(5)/(2)` , then

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

To find c substitute (8, - 9) into the partial equation

- 9 = - 20 + c ⇒ c = - 9 + 20 = 11

y = -
`(5)/(2)` x + 11 ← equation of line