Question

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C

Answer 1

8x - y = 28

Explanation:

We have that the equation of a line in its slope-point form has the following form:

`\begin{gathered} y-y_1=m(x-x_1) \\ \\ \text{ where m is the slope and }(x_1,y_1)\text{ is the point } \end{gathered}`

We know the slope (m = 8) and we know the point (4, 4).

We substitute and we are left with the following:

`\begin{gathered} y-4=8\left(x-4\right) \\ \\ y-4=8x-32 \\ \\ y-8x=-32+4 \\ \\ y-8x=-28 \\ \\ 8x-y=28 \end{gathered}`

The equation of the line in the form Ax + By = C is 8x - y = 28