Write in slope-intercept form an equation of the line that passes through the given points. (−1, −1), (1, 5)

Slope-intercept form uses the following equation: y = mx + b. m is the slope, and b is the y-intercept of the equation.

Use the following formula to figure out the rise and run of these points:



Plug the x and y values into the equation to determine the slope.

=  = 3

Use the slope to find the y-intercept of the equation. You can find this by taking a point and using addition/subtraction and multiplication.

Taking the point (1,5), you can do the following:

5 - 3(1) = 2

The final equation is y = 3x + 2.

The solution to the system of equations (-2,2)