Aline contains the points (1,2) and (5,2).what is the equation of the line

The equation of the line is y = 2

Step-by-step explanation:

To find this, first start by using the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - 2)/(5 - 1)

m = 0/4

m = 0

Now that we have the slope of 0, we can use point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = 0(x - 1)

y - 2 = 0

y = 2

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

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step-by-step explanation: