Question

Find an equation of the line with the slope M equals -1 over for that passes through the point -7, zero write the equation in the the form a X plus BY equals C

Answer 1

The equation we have to find has the following form:

$Ax+By=C$

We know that the slope is -1/4. This means that the equation is:

$-\frac{1}{4}x+b=y$

We also know that it must pass through the point (-7,0) which means that taking x=-7 should give us y=0:

$\begin{gathered} -\frac{1}{4}(-7)+b=y \\ \frac{7}{4}+b=y=0 \\ \frac{7}{4}+b=0 \\ b=-\frac{7}{4} \end{gathered}$

So we have:

$-\frac{1}{4}x-\frac{7}{4}=y$

Which can be rewritten:

$\begin{gathered} -\frac{1}{4}x-\frac{7}{4}=y \\ -x-7=4y \\ -7=x+4y \end{gathered}$

So the correct option is B