Answer:
The equation of the line is y -24 = -5(x + 6)
Explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-31 - 24)/(5 - -6)
m = (-31 - 24)/(5 + 6)
m = -55/11
m = -5
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 24 = -5(x - -6)
y - 24 = -5(x + 6)