Question

HELP IM FAILING MATH OOOOFFFF

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points
`(-4,\ -1)` and
`\left((1)/(2),\ 3\right)`.

Substitute:

`m=(3-(-1))/((1)/(2)-(-4))=(4)/(4(1)/(2))=(4)/((9)/(2))=4\cdot(2)/(9)=(8)/(9)\\\\y-(-1)=(8)/(9)(x-(-4))\\\\y+1=(8)/(9)(x+4)`

The standard form: Ax + By = C

`y+1=(8)/(9)(x+4)\qquad\text{multiply both sides by 9}\\\\9y+9=8(x+4)\qquad\text{use distributive property}\\\\9y+9=8x+32\qquad\text{subtract 9 from both sides}\\\\9y=8x+23\qquad\text{subtract 8x from both sides}\\\\-8x+9y=23\qquad\text{change the signs}\\\\\boxed{8x-9y=23}`