Question

What is the equation of the line that passes through the point (-6,-8) and has a slope of 1/2?

Answer 1

y =
`(1)/(2)` 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 =
`(1)/(2)` , then

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

to find c, substitute (- 6, - 8 ) for x and y in the partial equation

- 8 =
`(1)/(2)` (- 6) + c = - 3 + c ( add 3 to both sides )

- 5 = c

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