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# 4.3 notes

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### 4.3 notes

1. 1. 4.3 Objective: Graph linear equations using intercepts
2. 2. X and Y Intercepts • The points on the x and y axes where the line crosses them. • The graph on the right has an x- intercept of –3 and a y-intercept of 5. y-intercept: 5 x-intercept: -3 y x
3. 3. Finding the x and y intercepts. • If you can find the x and y intercepts you can graph the line that passes through them. • Here’s how: y-intercept: 5 x-intercept: -3 y x
4. 4. Finding the x and y intercepts. • Begin with an equation: • 2x+7y=14 • Substitute 0 for y and solve for x • 2x+7(0) =14 • 2x=14 • 2x/2=14/2 • x=7 • Substitute 0 for x and solve for y • 2(0)+7y=14 • 7y=14 • 7y/7=14/7 • y=2 y x
5. 5. Practice: • Graph the following equations by finding the x and y intercepts: • 3x+2y=6 y x
6. 6. Practice: • Graph the following equations by finding the x and y intercepts: • 4x-2y=10 y x
7. 7. Practice: • Graph the following equations by finding the x and y intercepts: • -3x+5y=-15 y x
8. 8. Practice: • Identify the intercepts: x y
9. 9. Practice: • Identify the intercepts: x y
10. 10. Practice: • Identify the intercepts: x y