Question

A line passes through the point(-9,-5) and has a slope of 2/3 . write the equation for this line

Answer 1

y =
`(2)/(3)` 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 =
`(2)/(3)`, hence

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

to find c substitute (- 9, - 5) into the partial equation, that is

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

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