Write an equation of the line that passes through a pair of points: -2,-2 and 5,-5

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

astronomers is your final answer! : )