Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept of the graph of 2x + 7y = 28. Find the intercepts of the graph of an equation EXAMPLE 1 Solve for x. 2x + 7(0) = 28 x == x + 7y = 28
2(0) + 7y = 28 Find the intercepts of the graph of an equation EXAMPLE 1 To find the y- intercept, substitute 0 for x and solve for y. Write original equation. Substitute 0 for x. Solve for y. ANSWER The x- intercept is 14. The y- intercept is 4. 2x +7y = 28 y = 28 7 = 4
Find the x- intercept and the y- intercept of the graph of the equation. GUIDED PRACTICE for Example x + 2y = 6 ANSWER 2, 3
GUIDED PRACTICE for Example x – 2y = 10 Find the x- intercept and the y- intercept of the graph of the equation. ANSWER 2.5, –5
GUIDED PRACTICE for Example 1 3. –3x + 5y = –15 Find the x- intercept and the y- intercept of the graph of the equation. ANSWER 5, –3