# Mr Sims Algebra 1 Section 4 3 Quick

- Slides: 10

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Algebra 1 Section 4. 3 Quick Graphs Using Intercepts An x-intercept is the x-coordinate of a point where the graph crosses the x-axis A y-intercept is the y-coordinate of a point where the graph crosses the y-axis y-intercept is 3 crosses at (0, 3) y x-intercept is 2 crosses at (2, 0) x © Mr. Sims

y x-intercept = 1 y-intercept = 3 at (1, 0) at (0, 3) x y x-intercept = - 4 at (-4, 0) y-intercept = 5 at (0, 5) © Mr. Sims x

y x-intercept = -1 y-intercept = 1 at (-1, 0) at (0, 1) x y x-intercept = 2 y-intercept = - 4 at (2, 0) at (0, -4) Notice: at the x-intercept, y = 0 at the y-intercept, x = 0 © Mr. Sims x

y (0, 5) At the x-intercept, y = 0 At the y-intercept, x = 0 (-5, 0) x Find the x-intercept and y-intercept of the graph of the equation. x + 3 y = 5 x-int x + 3(0) = 5 x=5 © Mr. Sims y-int 0 + 3 y = 5/3 To find the x-intercept: put 0 in for y To find the y-intercept: put 0 in for x

Find the x-intercept and y-intercept of the line. y = 3 x - 4 x-int 0 = 3 x – 4 +4 y-int y = 3(0) – 4 y=-4 +4 4 = 3 x x = 4/3 2 x + 6 y = - 24 x-int 2 x + 6(0) = - 24 2 x = - 24 x = - 12 © Mr. Sims y-int 2(0) + 6 y = - 24 y=-4

Find the x-intercept and the y-intercept of the line. -7 x – 3 y = 42 x-int -7 x – 3(0) = 42 -7 x = 42 x=-6 y-int -7(0) – 3 y = 42 -3 y = 42 y = - 14 3 x + 12 y = - 84 x-int 3 x + 12(0) = - 84 3 x = - 84 x = - 28 © Mr. Sims y-int 3(0) + 12 y = - 84 y=-7

Graph the line with the given intercepts y x-intercept = - 4 y-intercept = - 3 x y x-intercept = 4 y-intercept = - 1 © Mr. Sims x

b. Match the equation with its graph. 1. ) y = 4 x – 8 2. ) y = 4 x – 4 3. ) y = 4 x + 8 4. ) y = 4 x + 4 Graph the line with the given intercepts. 5. ) x-intercept = 16 y-intercept = 9 © Mr. Sims 6. ) x-intercept = - 2 y-intercept = - 5 d. a. c. 7. ) x-intercept = - 9 y-intercept = 12 Algebra 1 Section 4. 3 Assignment

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