Math Algebra Quiz Review 5.1 Answer Key

University:
North Central College
Course:
MATH 106 | Mathematics for Elementary Education I
Academic year:

2023
Views:

484

Pages:

4
Author:

SpaceCadet101

Review 5.1-5.4 Algebra 1 CP Name: KEY Hour: Write an equation of the line with the given slope and y-intercept in slope-intercept form. 1. slope: -8; y-intercept: 0 y = -8x 2. slope: 1/4; y-intercept: -3 y = 1/4x - 3 3. slope: -3/5; y-intercept: 1/2 y = -3/5x + 1/2 Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m. 4. (2, 5), m = 3 y - 5 = 3(x - 2) y - 5 = 3x - 6 y = 3x - 1 5. (-1, 4), m = -2 y - 4 = -2(x + 1) y - 4 = -2x - 2 y = -2x + 2 6. (0, 7), m = 5 y + 7 = 5(x - 0) y + 7 = 5x y = 5x - 7 Write an equation in slope-intercept form of the line that passes through the given points. 7. (0, 2), (9, 5) m = (5-2)/(9-0) = 1/3 y = 1/3x + b 2 = 1/3(0) + b b = 2 y = 1/3x + 2 8. (5, 7), (19, 14) m = (14-7)/(19-5) = 1/2 y - 7 = 1/2(x - 5) y - 7 = 1/2x - 5/2 y = 1/2x + 9/2 9. (4, 24), (-11, 19) m = (19-24)/(-11-4) = 1/3 y - 24 = 1/3(x - 4) y - 24 = 1/3x - 4/3 y = 1/3x + 68/3 Write an equation of the linear function f with the given values. 10. f(6) = 2, f(15) = -4 m = (-4-2)/(15-6) = -2/3 y - 2 = -2/3(x - 6) y - 2 = -2/3x + 4 y = -2/3x + 6 11. f(-2) = 21, f(5) = -35 m = (-35-21)/(5+2) = -8 y - 21 = -8(x + 2) y - 21 = -8x - 16 y = -8x + 5 12. f(-3) = 10.5, f(6) = -12 m = (-12-10.5)/(6+3) = -2.5 y - 10.5 = -2.5(x - 6) y - 10.5 = -2.5x + 15 y = -2.5x + 25.5 Write an equation of the line shown in slope-intercept form for the line shown. 10. [Image of a line passing through (0, 5) and (1, 1)] m = (1 - 5) / (1 - 0) = -4 y-intercept is 5 y = -4x + 5 11. [Image of a line passing through (-2, -3) and (1, 3)] m = (3 - (-3)) / (1 - (-2)) = 2 y - 3 = 2(x - 1) y - 3 = 2x - 2 y = 2x + 1 12. [Image of a line passing through (-4, 7) and (2, 4)] m = (4 - 7) / (2 - (-4)) = -1/2 y - 4 = -1/2(x - 2) y - 4 = -1/2x + 1 y = -1/2x + 5 Identify a point on the line and the slope of the line, and then graph the equation below. 13. y + 3 = 4(x - 5) m: 4 point: (5, -3) [Image of a line passing through (5, -3) with a slope of 4] 14. y - 4 = -3/2(x + 5) m: -3/2 point: (-5, 4) [Image of a line passing through (-5, 4) with a slope of -3/2] 15. y + 1 = -2(x - 3) m: -2 point: (3, -1) [Image of a line passing through (3, -1) with a slope of -2] Write an equation in standard form with the given characteristics. 16. Slope: 8; Passes through: (-4, 2) y - 2 = 8(x + 4) y - 2 = 8x + 32 -8x + y = 34 17. Slope: 1/2; Passes through (-15, -4) 2(y + 4) = 1(x + 15) 2y + 8 = x + 15 2y = x + 7 -x + 2y = 7 x - 2y = -7

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