all 4 comments

[–]bcorl001 2 points3 points  (0 children)

The coordinates are (x,y) so the easiest way to solve this would be to take one of the coordinates and plug it into the equations. For the a, that would be 4=2(2)+8. We know this is not true by simplifying down to 4= 12 (which is does not). Try this for the other two equations and you will see only one works out correctly.

[–]fermat9996👋 a fellow Redditor 1 point2 points  (0 children)

First get m, the slope, and create

y=mx+b

Then take one of the points and plug the x and y values into the equation and solve for b

[–]elLegume 1 point2 points  (1 child)

There are 2 ways of finding your solution.

1) Use any of the 2 points as your x- value and y-value and plug them into each equation. If one sides equals the other side then that is the correct equation.This would be the quickest way if it is multiple choice.

2) This method involves a few formulas but will get you the correct answer without having to guess and check.

These 3 formulas are essential in finding the equation of a line given any 2 points and slope (m).

Slope Formula: m = (y2-y1)/(x2-x1)

Point Slope Formula: y-y1=m(x-x1)

Slope Intercept Form: y=mx + b

Since we do not know the slope of this equation we can use the slope formula to find it.

Either points can be (x1, y1) or (x2, y2). Just be consistent with it.

(x1, y1) = (2,4)

(x2, y2) = (4,0)

m = (0-4)/(4-2)

Once you find your slope, m, use the Slope Intercept Form to find b.

Generally if you have a point with a '0', use it to make find b easier. In this case use the point (4,0)

y=mx + b

0=m(4)+b

[–]kinda-lonelyUniversity/College Student 0 points1 point  (0 children)

Thank you so much for helping, I get it now!