How do you graph an equation using slope and intercepts?

Answer 1

In Cartesian coordinates in two dimensions: plot the intercept (if it is the X intercept it is usually plotted on the horizontal axis; the Y intercept is usually plotted on the vertical axis). From the intercept plot the slope (that is the rise Y increase [up] divided by the X increase [to the right]).

Example: Y intercept -4; slope +1,5

Plot the point (0;-4) [four units below the origin]

from there go 1,5 units up and 1 unit right to (1;2,5) plot a point there

Connect the points and extend the line

Note you might get better accuracy if you spread your points out, in the example you should make sure the line extension goes through the point (10;11) [fifteen units up and ten units over from the intercept]