Question

What is the equation of the line that passes through the point
(3,-7) and has a slope of -4/3

Answer 1

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

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 = -
`(4)/(3)` , then

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

to find c substitute (3, - 7 ) into the partial equation

- 7 = - 4 + c ⇒ c = - 7 + 4 = - 3

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

Answer 2

Using point-slope form, the equation is
`y+7=-(4)/(3)(x-3)`.