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:

`-(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} -(1)/(4)(-7)+b=y \\ (7)/(4)+b=y=0 \\ (7)/(4)+b=0 \\ b=-(7)/(4) \end{gathered}`

So we have:

`-(1)/(4)x-(7)/(4)=y`

Which can be rewritten:

`\begin{gathered} -(1)/(4)x-(7)/(4)=y \\ -x-7=4y \\ -7=x+4y \end{gathered}`

So the correct option is B