Question

How do you figure out the slope of a line without graphing?

Answer 1

given two points\[(x_1,y_1),(x_2,y_2)\]the slope, m, can be found by the formula\[m=\frac{y_2-y_1}{x_2-x_1}\]

Answer 2

Given a linear equation, converting it to the form\[y=mx+b\]will let you recognize that the number that turns out to be m is your slope.
So it depends how the problem is given, but there are various ways.