Question

Use the information given to enter an equation in standard form.Slope is -6, and (0,-8) is on the line.

Answer 1

Express the atandard form of equation of the line having slope m and a point (x1,y1).

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

Given that slope is -6 and point is (0,-8) implies,

`\begin{gathered} y+8=-6(x-0) \\ y+8=-6x \\ y=-6x-8 \end{gathered}`

Therefore, the atandarad form is y=-6x-8.

Express the equation of the line in standarad form ax+by=c.

`\begin{gathered} y+6x=-8 \\ 6x+y=-8 \end{gathered}`

Therefore, the atandard form is 6x+y=-8.