Math teacher did not explain it at all

First, we can use the slope formula to find the slope of the two points.



For points in the form of (x1, y1), (x2, y2). Plug in the points:



Subtract:



Divide:



So the slope is 3, we can plug this and one of the points into point-slope form first, and then convert it to slope-intercept form.



Where 'm' is the slope and (x1, y1) is a point on the line. Let's use (2, 4):



Now convert to slope-intercept form:

Distribute 3 into the parenthesis:



Add 4 to both sides: