Question

A line passes through the point (8, -4) and has a slope of 1.Write an equation in point-slope form for this line.

Answer 1

Let's remember the point-slope equation form:

$y-y_0=m(x-x_0)\begin{cases}x_0,y_0=Point \\ m=slope \\ x=independentVariable \\ y=dependentVariable\end{cases}$

Thus, using the given point P(8, -4) and slope m = 1, the equation is:

$\begin{gathered} y-(-4)=1\cdot(x-8) \\ y+4=x-8 \\ y=x-12 \end{gathered}$