The standard form: Ax + By = C.
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
6. We have m =-2 and the point (-7, -10). Substitute:
[tex]y-(-10)=-2(x-(-7))\\\\y+10=-2(x+7)\qquad|\text{use distributive property}\\\\y+10=(-2)(x)+(-2)(7)\\\\y+10=-2x-14\qquad|-10\\\\y=-2x-24\qquad|+2x\\\\\boxed{2x+y=-24}[/tex]
7. We have m = 4 and the point (-3, 0). Substitute:
[tex]y-0=4(x-(-3))\\\\y=4(x+3)\qquad|\text{use distributive property}\\\\y=(4)(x)+(4)(3)\\\\y=4x+12\qquad|-4x\\\\-4x+y=12\qquad|\text{change the signs}\\\\\boxed{4x-y=-12}[/tex]
