Question

A line passes through the point (-4,-6) and has a slope of 5/4. Write an equation in slope-intercept form for this line.

Answer 1

y =
`(5)/(4)` 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 =
`(5)/(4)` , then

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

to find c substitute (- 4, - 6 ) into the partial equation

- 6 = - 5 + c ⇒ c = - 6 + 5 = - 1

y =
`(5)/(4)` x - 1 ← equation of line