must be done in point slope form
Let us remember that the slope intercept form of an equation equals: y = mx +b, where "m" = slope of the line, and "b"= intercept of the line,
Now, the formula for the slope of a line can be found by, m = (rise)/(run) = (y_{2}-y_{1)
}/ (x_{x}-x_{1})
Substituting the values from our two points, we get
m = [(-8)-(-4)] / [(-7)-(-6)] = (-4)/(-1) = 4,
Now, we have that our equation is: y = 4x +b
In order to find the value of "b", we substitute the values of any of the two points in the above formula and solve for "b",
y = 4x + b
-4 = 4(-6) + b
-4 = -24 + b
-4 + 24 = b, therefore, b = 20
So, now our final equation looks like: y = 4x + 20