Question

A line passes through the point(4,-3) and has a slope of 5/4 what is the equation for this line

Answer 1

see explanation

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 =
`(5)/(4)`, hence

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

to find c substitute (4, - 3) into the partial equation

- 3 = 5 + c ⇒ c = - 3 - 5 = - 8

y =
`(5)/(4)` x - 8 ← equation of line