Sometimes the quickest and easiest two points to use to graph a line that is not in slope-intercept form are the x- and y-intercepts. Find the x- and y-intercepts for the two lines below and then use them to graph each line. Write the coordinates of the x- and y-intercepts on your graph. Homework Help ✎
x − 2y = 4
3x + 6y = 24
The y-intercept is the value of y when x is 0.
To find the y-intercept, substitute 0 for x and evaluate.
0 − 2y = 4
−2y = 4
y = −2
The y-intercept is (0, −2). Now do the same for the x-intercept, but substitute 0 for y instead.
Plot the two intercepts and draw the line to connect them.
Label the intercept points.