Question

Through (-3,5) slope -10/3

Answer 1

y = -
`(10)/(3)` x - 5

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given slope m = -
`(10)/(3)` , then

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

to find c , substitute (- 3, 5 ) into the partial equation

5 = -
`(10)/(3)` (- 3) + c = 10 + c ( subtract 10 from both sides )

- 5 = c

y = -
`(10)/(3)` x - 5 ← equation of line