Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . does the equation y=12x+28 work

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = = 12

Taking another point (x ,y) on the line;

Slope is = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!

20

step-by-step explanation:

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