Question

Hello!) this is math :( Can you help me please?

Answer 1

The standard form: Ax + By = C.

The point-slope form:

$y-y_1=m(x-x_1)$

6. We have m =-2 and the point (-7, -10). Substitute:

$y-(-10)=-2(x-(-7))\\\\y+10=-2(x+7)\qquad|\text{use distributive property}\\\\y+10=(-2)(x)+(-2)(7)\\\\y+10=-2x-14\qquad|-10\\\\y=-2x-24\qquad|+2x\\\\\boxed{2x+y=-24}$

7. We have m = 4 and the point (-3, 0). Substitute:

$y-0=4(x-(-3))\\\\y=4(x+3)\qquad|\text{use distributive property}\\\\y=(4)(x)+(4)(3)\\\\y=4x+12\qquad|-4x\\\\-4x+y=12\qquad|\text{change the signs}\\\\\boxed{4x-y=-12}$