University:
High School
Course:
High School Algebra
Academic year:

2020
Views:

60

Pages:

2
Author:

Campbell Hernandez

Algebra 1 Show All work What is the coordinate of point A? (-5, 2) Given slope is 4 and the y-intercept is 0. Write the equation of the line. y = mx + b y = 4x + 0 or y = 4x Write an equation of the line in slope-intercept form. y = mx + b y = 5x - 2 Write the equation of the line in slope-intercept form. y = mx + b y = -2x + 0 or y = -2x Write an equation of the line that passes through the given points. (-2, 5) and (1, -1) Find slope: (y₁ - y₂) / (x₁ - x₂) (5 - (-1)) / (-2 - 1) (5 + 1) / (-3) = -2 Make the equation: y - y₁ = m(x - x₁) y - 5 = -2(x + 2) y - 5 = -2x - 4 y = -2x + 1 Write an equation of the line that passes through the given points. (-3, -2) and (2, -1) Find slope: (-2 - (-1)) / (-3 - 2) (-2 + 1) / (-5) -1 / -5 = 1/5 Make Equation: y - y₁ = m(x - x₁) y - (-1) = 1/5(x - 2) y + 1 = 1/5x - 2/5 y = 1/5x - 7/5 Algebra 1 Show All work Determine which of the lines, if any, are parallel or perpendicular. Explain. Line a passes through (-2, 2) and (2, 1) Line b passes through (1, -8) and (3, 0) Line c passes through (-4, -3) and1 (0, -2) 1. Line a: (2-1)/(-2-2) = 1/-4 Line b: (-8-0)/(1-3) = -8/-2 = 4 Line c: (-3-(-2))/(-4-0) = -1/-4 = 1/4 Line a and Line c are parallel Determine which of the lines, if any, are parallel or perpendicular. Explain. Line j: 2x + 6y = -12 Line k: y = (3/2)x - 5 Line l: 3x - 2y = -4 Line j: 2x + 6y = -12 6y = -2x - 12 y = (-1/3)x - 2 Line k: y = (3/2)x - 5 Line l: 3x - 2y = -4 -2y = -3x - 4 y = (3/2)x + 2 Line k and Line l are parallel Write an equation of the line that passes through the given point and is parallel to the given line. m = 3 (for the given line) (6, 2) Same slope y - 2 = 3(x - 6) y - 2 = 3x - 18 y = 3x - 16 Write an equation of the line that passes through the given point and is perpendicular to the given line. (-2, -3) m = -1/2 (perpendicular slope) y + 3 = 1/2(x + 2) y + 3 = 1/2x + 1 y = 1/2x - 2