Question

given the points (0,-1) and (-6,-7) and on a line, find its equation in the form y= mx+b y=_______

Answer 1

ANSWER :

y = -x - 1

EXPLANATION :

Using the two-point formula :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

From the problem, the two points are (0, -1) and (-6, -7)

$\begin{gathered} y-(-1)=\frac{-7-(-1)}{-6-0}(x-0) \\ y+1=\frac{-6}{-6}(x) \\ y+1=-x \\ y=-x-1 \end{gathered}$