Algebra I Part 1 Unit 4 Day 3 - Writing Equations in Point-Slope Form Homework Name: _______________________________ Write an equation in point-slope form for the line that passes through each point with the given slope. Then graph the equation. 1. (2, -1), m = -3 10 2. (-7, 6), m = 0 10 y 8 8 6 6 4 4 2 y 2 x -10 -8 -6 -4 -2 -2 2 4 6 8 10 x -10 -8 -6 -4 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 2 4 6 8 10 7 3. Write an equation in point-slope form for a line that passes through (-2, -9) with a slope of . 5 4. Write an equation for a horizontal line that passes through (-6, 0). Write each equation in slope-intercept form form. 5. y – 9 = -6(x + 9) 6. y + 4 = 2 (x + 7) 3 7. y – 11 = 3(x + 4) 8. y – 1 = 4 (x + 5) 5 9. MOVIE RENTALS The number of copies of a movie rented at a video store decreased at a constant rate of 5 copies per week. The 6th week after the movie was released, 4 copies were rented. How many copies were rented during the second week? Write an equation in point-slope form for each line. y 10. 4 (1, 3) 12. 6 m= 2 y y 11. 8 6 (-3, 7) 4 m= 4 2 x x -4 -2 m=4 2 -2 -4 2 4 -8 x -4 -2 (-4, -1) 2 -2 4 -6 -4 -2 -2 2 4 6 8 -4 -6 -8 -10 13. ERROR ANALYSIS Juana and Sabrina wrote an equation in point-slope form for the line that passes through (3, -7) and (-6, 4). Is either of them correct? Explain. 10
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