Question

Write the point-slope form of the equation of the line through the given point with the given slope.

Through (-2,0) slope=2

Answer 1

$the\ point-slope\ formula:y-y_1=m(x-x_1)\\===============================\\\\(-2;\ 0)\to x_1=-2;\ y_1=0\ and\ m=2\\\\therefore\\\\y-0=2(x-(-2))\\\\y=2(x+2)\\\\\boxed{y=2x+4}$

Answer 2

Steps:
1. Your point slope formula is
Y-Y1=m(x-x1)
2. Y1=0 m=2 (slope) x1=-2
3. Do substitution
4. Your answer is
Y-0=2(x +2)
Ps: in case you are wondering why I put plus 2 instead of negative 2 is because you are supposed to do the opposite when subtracting a negative