Answer:
The equation of the line would be y = -3/7x - 20/7
Step-by-step explanation:
To start finding the line of this equation, you need to find the slope. You can do this using the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -5)/(-2 - 5)
m = (-2 + 5)/(-2 - 5)
m = 3/-7
m = -3/7
Now that we have the slope, we can use that and either point in point-slope form to get the equation.
y - y1 = m(x - x1)
y + 5 = -3/7(x - 5)
y + 5 = -3/7x + 15/7
y = -3/7x - 20/7
