Question

Answer as quickly as you possibly can

Answer 1

m = 3/2

Explanation:

You want to find the slope, or the change in y coordinates over change in x-coordinates.

The first given point is E(-2, -4)

The second point is F(2, 2)

Coordinates are given in (x, y), so following the equation and computing the x and y coordinates of E - F for both the numerator and denominator:

`(y_2 - y_1)/(x_2-x_1) = (-4 -2)/(-2 -2) = (-6)/(-4) = (3)/(2)`

You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.

Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.