Question

5. Write an equation, for the line whose slope is - and passes through the point (4,-7).

Answer 1

the general form of the linear equation is

$y=mx+b$

where m is the slope and b an initial point

we have m just need find b, we can replace the slope and the point and solve b

$\begin{gathered} (-7)=(-1)(4)+b \\ -7=-4+b \\ b=-7+4 \\ b=-3 \end{gathered}$

so the linear equation is

$y=-x-3$