Question

I need some help on my math test!!, I get to retake it but I need help with some of it:

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

Choices:
Y=1/2x–7
Y=1/2x+7
Y=1/2x+11

Answer 1

B

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 =
`(1)/(2)`, thus

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

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

- 9 = - 2 + c ⇒ c = - 9 + 2 = - 7

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