How do you write the equation of a line (in slope intercept form) with three given points?​

With even just two points, you can find the equation of a line in slope-intercept form.

Slope-intercept form: where is the slope and is the y-intercept

1) Solve for the slope ()

The equation to solve for the slope is when the two points are and . Plug the coordinates of these points into the equation and solve for .

Then, plug into .

1) Solve for the y-intercept ()

Then, take any of the given points and plug it into along with the slope. Isolate to get the y-intercept. Then, plug both m and b back into to get your final equation.

I hope this helps!

square root

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.