Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?

The exact values for the intersection point is (20/9, -107/9)

Given the system of equation expressed as;

y = −13x + 17;

y = 5x - 23

Since they are both y-values, we will equate both expressions to have:

-13x + 17 = 5x - 23

-13x - 5x = -23 - 17

-18x = -40

x = 40/18

x = 20/9

Substitute x = 20/9 into equation 2:

y = 5x - 23

y = 5(20/9) - 23

y = 100/9 - 23

y = -107/9

Hence the exact values for the intersection point is (20/9, -107/9)

Learn more on solution to equations here: link

The exact solution for this equation would be (2.222, -11.889)

Step-by-step explanation:

Since it told us to use a graphing calculator, I went on to desmos graphing calculator, typed in the equation, then I found out where the two line intersect, and then that was the answer.