MATH 1201 College Algebra Written Assignment Unit 1

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University of the People *

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Mathematics

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May 21, 2024

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University of the People MATH 1201: College Algebra Instructor Clifford Kettemborough Written Assignment – Unit 1 November 22, 2023
Question 1: Determine Line Relationships a. Equations: { 3 y + 4 x = 12 ; -6y = 8x + 1 To determine if the lines are parallel, perpendicular, or neither, let's first rewrite the equations in slope-intercept for ( y = mx + b ) First equation y = − 4 3 x + 4 Second equation y = − 4 3 x − 1 6 The slopes are equal (-4/3), so the lines are parallel
b. Equations: 3 y + x = 12 − y = 8 x + 1 Solution: Rewrite the equations in slope-intercept form. First equation: y =− x + 4 Second equation: y =− 8 x − 1 The slopes are not equal, so the lines are neither parallel nor perpendicular .
c. Equations 4 x − 7 y = 10 7 x + 4 y = 1 Solution: Rewrite the equations in slope-intercept form. First equation: y = 4 7 x − 10 7 Second equation: : y = 7 4 x + 1 4
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