Question 389518
(-10,-5),(-8,-2)

Slope is equal to the change in y over the change in x, or 'rise over run'.
m=(change  in  y)/(change  in  x)

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2-y1)/(x2-x1)

Substitute in the values of x and y into the equation to find the slope.
m=(-2-(-5))/(-8-(-10))

Multiply -1 by each term inside the parentheses.
m=(-2-(-5))/(-8+10)

Add 10 to -8 to get 2.
m=(-2-(-5))/(2)

Multiply -1 by each term inside the parentheses.
m=(-2+5)/(2)

Add 5 to -2 to get 3.
m=(3)/(2)

After finding the slope between the points, use point-slope form to setup the equation.  Point-slope is derived from the equation for slope m=((y2-y1))/((x2-x1)).
(y-(-5))=(3)/(2)*(x-(-10))

Remove the parentheses around the expression y-(-5).
y-(-5)=(3)/(2)*(x-(-10))

Multiply -1 by each term inside the parentheses.
y-(-5)=(3(x+10))/(2)

Multiply -1 by each term inside the parentheses.
y+5=(3(x+10))/(2)

Since 5 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 5 from both sides.
y=-5+(3(x+10))/(2)

Simplify the right-hand side of the equation.
y=(3x+20)/(2)