The document discusses finding the x-intercept and y-intercept of linear equations by setting either x or y equal to 0 and solving for the other variable. It provides examples of finding the intercepts of equations and graphing the resulting point coordinates. Students are asked to practice finding and graphing intercepts for several equations.

1. Bell Ringer Solve each equation for y. 1) 3x + y = 5 2) x – y = 6 3) 20x + 4y = 8 Clear each equation of decimals. 4) 6.25x + 8.5 = 7.75 5) .4 = .2x - 5

2. Standard form of a linear equation Ax + By = C. X – intercept is where the line crosses the x-axis. Y – intercept is where the line crosses the y-axis. What are x- and y – intercepts?

3. x- and y-coordinates

4. To find x – intercept, you substitute 0 for y then solve for x. To find y – intercept, you substitute 0 for x then solve for y. X – and Y- intercepts as points: X – intercept : Y – intercept : (x, 0) (0, y)

5. Practice finding intercepts Find the x-intercept: 2x + 4y = 8. 2x + 4(0) = 8 2(0) + 4y = 8 Find the y - intercept.

6. Practice finding intercepts Find the x-intercept: -x + 3y = 9. -x + 3(0) = 9 -(0) + 3y = 9 Find the y - intercept.

7. Find the x- and y – intercepts of: You try! 2x + 5y = 6 3x + 5y = 15 4x – 9y = 12 x + 2y = 8 -6x + 3y = -9

8. Find the intercepts for -3x + y = 6. Then graph your points.

9. Find the intercepts and graph: x - y = -7 2x + y = 2 You try!

10. 2 x -5 y = 10 x + y = 2 Find the intercepts and graph: You try!

11. Graphing horizontal and vertical lines Horizontal Lines y = # Vertical Lines x = #

12. For each equation, tell whether its graph is a horizontal or vertical line. x = 4 y = ½

13. You try! y = -1 x = 0 y = 2 x = -3