Question

Slope intercept formPlease Solve everything with the exception of 8

Answer 1

The equation of a line in slope intercept form is in the form,

`y=mx+c`

SOLUTION

3) 2y - 6 = -6x

Add 6 to both sides

`\begin{gathered} 2y-6+6=-6x+6 \\ 2y=-6x+6 \end{gathered}`

Divide through by 2

`\begin{gathered} (2y)/(2)=-(6x)/(2)+(6)/(2) \\ y=-3x+3 \end{gathered}`

Hence, the equation in the slope intercept form is

`y=-3x+3`

4) - 11x - 7y = -56

Add +11x to both sides

`\begin{gathered} -11x-7y+11x=-56+11x \\ -7y-11x+11x=11x-56 \\ -7y=11x-56 \end{gathered}`

Divide both sides by - 7

`\begin{gathered} (-7y)/(-7)=(11x)/(-7)-(56)/(-7) \\ y=-(11x)/(7)+8 \end{gathered}`

Hence, the equation in the slope intercept form is

`y=-(11x)/(7)+8`