Question

A line has a slope of

(-2,3) and passes through the point (-3, 8). What is the equation of the line?

Answer 1

first option

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 = -
`(2)/(3)` , thus

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

To find c substitute (- 3, 8) into the partial equation

8 = 2 + c ⇒ c = 8 - 2 = 6

y = -
`(2)/(3)` x + 6 ← equation of line