Question

Determine the equation of the line with slope -2 that passes through the point M(-1, -3).

2x + y = -5
2x - y=-5
x-2y = 5
x-2y = -5

Answer 1

2x + y = - 5

Explanation:

We can write the equations in the form

y = mx +b to see what line has slope - 2.

1) 2x+y = -5, y = -2x - 5, slope = -2

2)2x -y = -5, y = 2x +5 , slope = 2

3) x -2y =5, 2y =x-5, y = (1/2)x -5/2, slope is 1/2

4) x -2y = -5, 2y = x + 5, y = (1/2)x + 5, slope is 1/2

So, we have only one equation with slope -2.

We can check the point M.

2x + y = -5

2*(-1) +(-3)= - 5

-5 = -5 True