Question

What is an equation for the line that passes through (-2,-3) with a slope of -1/2?

A) 4y+2x=7
B) 4y-2x=-12
C) 4y+2x=-16
D) 5y-4x=12

Answer 1

C

Explanation:

To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).

`y -y_1 = m(x-x_1)\\y --3=-(1)/(2)(x--2)\\y+3 = -(1)/(2)(x+2)`

Convert to standard form by applying the distributive property and rearranging the terms.

`y + 3 = -(1)/(2)(x+2)\\y+3 = -(1)/(2)x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8`

The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16