Find the slope of the line passing through the points
, −8−3
and
, −34
.

Slope of the line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1/x2−x1.

We have that x1=−8, y1=−3, x2=−3, y2=4.

Plug given values into formula for slope: m=(4)−(−3)/(−3)−(−8)=7/5.

Now y-intercept is b=y1−m⋅x1 .

b=−3−(7/5)⋅(−8)=41/5.

Finally, equation of the line can be written in the form y=mx+b.

y=7/5x+41/5