Use the Slope–Intercept Form of an Equation of a Line: example 4.46

Graph the line of the equation $4 x - 3 y = 12$ using its slope and y-intercept.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Graph the line of the equation $2 x - y = 6$ using its slope and y-intercept.

How did it go?

	$4 x - 3 y = 12$
Find the slope–intercept form of the equation.	$−3 y = −4 x + 12$
	$- \frac{3 y}{3} = \frac{−4 x + 12}{−3}$
The equation is now in slope–intercept form.	$y = \frac{4}{3} x - 4$
Identify the slope and y-intercept.	$m = \frac{4}{3}$
	y-intercept is (0, −4)
Plot the y-intercept.	See graph below.
Identify the rise and the run; count out the rise and run to mark the second point.
Draw the line.

	$4 x - 3 y = 12$
Find the slope–intercept form of the equation.	$−3 y = −4 x + 12$
	$- \frac{3 y}{3} = \frac{−4 x + 12}{−3}$
The equation is now in slope–intercept form.	$y = \frac{4}{3} x - 4$
Identify the slope and y-intercept.	$m = \frac{4}{3}$
	y-intercept is (0, −4)
Plot the y-intercept.	See graph below.
Identify the rise and the run; count out the rise and run to mark the second point.
Draw the line.