Question

Write an equation in slope-intercept form for this line.

Answer 1

y =
`(3)/(2)` x - 1

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 (- 4, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y =
`(3)/(2)` x - 1 ← equation of line