Question

Write the equation of the line that passes through the point (-4,-9) and has a slope of 1/2.

Answer 1

y =
`(1)/(2)` x - 7

Explanation:

the equation of a line in slope- intercept form is

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

here slope m =
`(1)/(2)` , then

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

to find c substitute (- 4, - 9 ) into the partial equation

- 9 =
`(1)/(2)` (- 4) + c = - 2 + c ( add 2 to both sides )

- 7 = c

y =
`(1)/(2)` x - 7 ← equation of line