Name_____________________________ Date _________________ Period __________ show your slope triangle
by user
Comments
Transcript
Name_____________________________ Date _________________ Period __________ show your slope triangle
Name_____________________________ Date _________________ Period __________ Algebra I Writing Linear Equations Quiz For problems #1-4, identify the slope (show your slope triangle) and y-intercept of each line and use them to write an equation in slope-intercept form (y = mx + b). 2. 1. Slope:____ y-intercept:____ Equation: ____________ Slope:____ y-intercept:____ Equation: ____________ 4. 3. Slope:____ y-intercept:____ Equation: ____________ Slope:____ y-intercept:____ Equation: ____________ For Problems 5-7, use the slope formula to find the slope of the line between the two given points. Show Work 5. ( 0 , 0 ), ( 1 , 2 ) 6. ( 3 , 4 ), ( 7 , -8 ) 7. ( 2 , 1 ), ( 3 , 1 ) Determine if the given point is a solution to the equation. Show your work. 1 9. Is the point (4, 2) on the line y = - x + 6? 2 8. Is the point (7, 17) on the line y = 3x – 4? Match the line with its equation. Write the letter of line next to its equation. B ! ! 10. y = 2x + 3 _____ 11. y = "3x + 2 _____ 12. y = "3 _____ 13. y = 2x _____ ! ! D C A For Problems 11-14, write the equation of a line that fits the given information. Use y = mx + b 11. Slope = -1, y-intercept = 10 Equation: _______________________________ 12. Slope = 3/4, y-intercept = 0 Equation: _______________________________ 13. Vertical line crossing the x-axis at -1 Equation: _______________________________ 14. Horizontal line crossing the y-axis at 4 Equation: _______________________________ 15. Write the equation of the line that has the following table. x -2 -1 0 1 2 y -1 1 3 5 7 For Problems 15 and 16, write the equation of a line with the given slope that passes through the given point. Use slope intercept form y = mx + b. 16. Slope = -1, point: (3 , -3 ) Equation: _______________________________ 17. Slope = ½, point: ( 2 , -2 ) Equation: _______________________________ For Problems 17 and 18, write the equation of a line that passes through the two given points. Use slope intercept form y = mx + b. 18. Points: (2 , 2 ), (3 , 4 ) Equation: _______________________________ 19. Points: (-3 , -2 ), (-4 , -5 ) Equation: _______________________________ 20. In your own words, how can tell if a line has positive or negative slope. Bonus Question: Graph the point (2, 3) and then write an equation that passes through the point. Equation: ______________________________