Question

A line passes through point(9,3) and has a slope of -4/3

Answer 1

y = -
`(4)/(3)` x + 15

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 (9, 3 ) into the partial equation

3 = - 12 + c ⇒ c = 3 + 12 = 15

y = -
`(4)/(3)` x + 15 ← equation of line