Use the Slope–Intercept Form of an Equation of a Line: example 4.45

Graph the line of the equation $y = - \frac{2}{3} x - 3$ 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 $y = - \frac{5}{2} x + 1$ using its slope and y-intercept.

How did it go?

	$y = m x + b$
The equation is in slope–intercept form.	$y = - \frac{2}{3} x - 3$
Identify the slope and y-intercept.	$m = - \frac{2}{3}$ ; y-intercept is (0, −3)
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.

	$y = m x + b$
The equation is in slope–intercept form.	$y = - \frac{2}{3} x - 3$
Identify the slope and y-intercept.	$m = - \frac{2}{3}$ ; y-intercept is (0, −3)
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.