Today’s Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.

The intercepts are where the line crosses the axis. Y-Intercept =(0,6) Y X-Intercept =(2,0) X

Finding the intercepts 3x + y = 6 To find the x-intercept, let y = 0 3x + (0) = 6 3x = 6 x = 2 (2,0)

Finding the intercepts 3x + y = 6 To find the y-intercept, let x = 0 3(0) + y = 6 y = 6 (0,6)

The graph of 3x + y = 6 Y y-intercept =(0, 6) x-intercept =( 2,0) X

Compare the 2 graphs

Finding the intercepts x + 5y = 10 To find the x-intercept, let y = 0 x + 5(0) = 10 x = 10 (10,0)

Finding the intercepts x + 5y = 10 To find the y-intercept, let x = 0 0 + 5y = 10 5y = 10 y = 2 (0,2)

The graph of x + 5y = 10 Y y-intercept = (0,2) x-intercept = (10,0) X

Find the intercepts and graph 3x + 4y = 12

Finding the x-intercept 3x + 4y = 12 3x + 4(0) = 12 3x + 0 = 12 3x = 12 x = 4 (4,0)

Finding the y-intercept 3x + 4y = 12 3(0) + 4y = 12 0 + 4y = 12 4y = 12 y = 3 (0,3)

The graph of 3x + 4y = 12 Y y-intercept =(0, 3) x-intercept = (4,0) X

Find the intercepts and graph y = 4x - 4 You try this one.

Finding the x-intercept y = 4x - 4 0 = 4x - 4 0 + 4 = 4x -4 + 4 4 = 4x 1 = x (1,0)

Finding the y-intercept y = 4x - 4 y = 4(0) - 4 y = -4 (0,4)

The graph of y = 4x - 4 Y x-intercept = (1,0) X y-intercept = (0,-4)