Question

How do you find an equation of the line containing the given pair of points (-7,-3) and (-2,-1)

Answer 1

\[\frac{ y2-y1 }{ x2-x1 }\]
to find your slope, then after you do that pick one point you're given and plug it into y=mx+b along with your slope to find the y-intercept, then write your equation

Answer 2

The difference between the two points is the slope.
\[\frac{ -1 - (-3) }{ -2 - (-7) }\]
\[\frac{ -1+3 }{ -2+7 }\]
\[\frac{ 2 }{ 5 }\]
With the slope, you can use point-slope form for the equation of a line.
\[y-y_{1}=m(x-x_{1})\]
\[y+1=\frac{ 2 }{ 5 } (x+2)\]