Find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.

The slope of the line is:

Step-by-step explanation:

The slope can be calculated with this formula:

You need to choose two points of the line. You can pick the point (6,2) and the point (-6,-6)

You can identify that:

Now, you must substitute these values into the formula:

With this procedure you get that the the slope of the line on the graph is:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0