Question

What is the equation of the line that passes through the point (-2,-6) and has a

slope of - 1/2

Answer 1

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

Explanation:

`(-2,-6) =(x_1,y_1)\\\\m = -(1)/(2)`

Substitute values into point-slope form

`y-y_1=m(x-x_1)\\\\y -(-6)=-(1)/(2) (x -(-2))\\\\y+6 = -(1)/(2) (x+2)\\\\y +6 =-(1)/(2)x -1\\\\y =-(1)/(2)x -1-6\\\\y = -(1)/(2)x -7`