University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

359

Pages:

2
Author:

gotejatsgrr7

Algebra 1 Worksheet 3.6 Parallel and Perpendicular Lines Name: Key Date: Period: 1. Write the equation of the line that is parallel to the graph of y = 1/2 * x + 6 and whose y-intercept is -2.4VLSIF - 2(- 1/2 * x + 1) = (2 - 2) - 2 x - 2y = - 4 STF 2. Write the equation of the line that is parallel to the graph of y = - 4x - 9 and whose y-intercept is 3. y = - 4x + 3 4x + y = 3 SIF STF 3. Write the equation of the line that is parallel to the graph of 3x - y = 5 and whose y-intercept is (0, - 7) 3x - y = 5 3x - y = 5 2 * 5 = 1 new line y = 3x + 5 y = 3x - 7 SIF - (- 3x + y) - 1 3x - y = 7 STP 4. Write equation of the line that is parallel to the graph of 2x + y = 5 and whose y-intercept is (0,4). \{x*eta\} = 5 y = - 2x + 5 y = - 2x + 5y 51円 2x + y = 4 STF Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation. 5. (3.2), y = x - b z = 3 + 5 7. (-3,4), y = x + 2 y = x - 1 x - y =x- 6. (-2,5), y = 4x + 2 y = - 4x + b 5 = - h * ((0) + 2) 5 =,8+10 8. y = - 4x - 3 SIF 4x +1|=-5 1y = 2x - 3 = 3y = 2/5 * x - 3 1 = - 2 + b = 3(- 2/5 * x + y) = (6) - 3 6 - 6 y = - 2/2 * x + (x) ( 2x - 3y = - 16 y = 3x + 10 4 = 2/3 * (- 3) + 6 (- 1, - 4) 9x + 3y = 8 = gamma * 3y = - 9x, 8 y = - 3x + 12 y = - 3x + 2/5 4 = - 3(- 1) + b y = - 3x - 7 ) 2x+y SIF 4 = 3 + h 3x + y = - 7 STI 9. Write the equation of the line that is perpendicular to the graph of y = 1/2 * x + 6 and whose y-intercept is (0,-2), y <= - 2x + 6 y = - 2x - 2 2x + y = 2 STF 10. Write the equation of the line that is perpendicular to the graph of y = - 4x - 9 and whose y-intercept is (0, 3). y = 1/4 * x + L y = 1/4 * x + 3 -4 SIF x + (- k) / y = - 12 STF 11. Write the equation of the line that is perpendicular to the graph of 3x - y = 5 and whose y-intercept is -7. chi_{1} = - 1/3 * (k + k_{2}) - y = - 3x + 5 y = 3x - 5 5(1/3 * x + y) = (- 7) ^ 3 x + 3y = - 21 STF y= - 2x -<= 12. Write the equation of the line that is perpendicular to the graph of 2x+y=5, and whose y-intercept 50 = - 2(- 1/2 * x + 1) - (14) ^ - 2 x - 2y = - 8 STF Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the graph of each equation. 13. (3, 2), y = x + 5 y = - x + 6 z = - 3 + b \\ =-1. aligned y = - x + 5 15. (-6,4), 3y = 2x - 3 y = 1/2 * x - 1 y= - 5/L * overline 7 b G = sigma_{2}/mu * (sigma*Delta*rho) + Delta*rho y = - 3/2 * x - 5 14. (-8, 5), y = - 4x + 2 y = 1/4 * x + 10 5 = 1/27 * (- 6) + b S = - 2 + b b = 7 y = 7x + 7 16. (- 1, - 4) ,\$ 9x + 3y = 8 3y = - 7x + 8 y = 1/6 * y + b - 14 = 1/3 * (- 1) + 5 - h * y = -1 3 +h2 - 11/3 = 6 y = 1/5 * x - n/(z ^ 2) y = - 3y + 8/3 Graph the following lines and determine if they are perpendicularcoincide, or intersecting lines. 17. y = 3x + 2 9x - 3y = - 6 - 3y = - 9x, - 6 y = 3x + 2 Intersecting ↓ same line 18. y = - 2x + 3 2x - 4y = 8 y = 4 4y=-2018 n | = 1/2 * (- 2) perpendicular 19. y = 4x + 1 8x - 2y = 2 -247-8-2 y = 4v - 1 parallel 20. y = 1/3 * x - 2 x + y = 4 y = - x + 4