Find the x-intercept To find the y-intercept, we must use 0 for x. Substitute x = 0 into 2x + 3y = 6 and solve for y: 2x + 3y = 6 2(0) + 3y = 6 0 + 3y.

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Presentation transcript:

Find the x-intercept To find the y-intercept, we must use 0 for x. Substitute x = 0 into 2x + 3y = 6 and solve for y: 2x + 3y = 6 2(0) + 3y = y = 6 3y = 6 y = y = 2 Therefore, the y-intercept is b = 2, (0,2). Substite x=0 Simplify Solve for y

Find the y-intercept To find the x-intercept, we must use 0 for y. Substitute y = 0 into 2x + 3y = 6 and solve for x. 2x + 3y = 6 2x + 3(0) = 6 2x + 0 = 6 2x = 6 x = x = 3 Therefore, the x-intercept is 3, (3,0). Substitute y=0 Simplify Solve for x

Graphing the Equation Now, graphing using the y-intercept, 2, and the x-intercept, 3. Connect the two intercepts with a line. Plot the x and y – intercepts and graph the line 2x + 3y = 6

Graphing the Equation