Math  /  Algebra

QuestionTopic 1: Writing Equations
1. (Multiple Choice): Write the equation of the line that passes through (3,2)(3,-2) with a slope of 4 . a) y=4x14y=4 x-14 b) y=4x+14y=4 x+14 c) y=4x2y=4 x-2 d) y=4x+2y=-4 x+2
2. (Multiple Choice): What is the slope-intercept form of a line with slope -5 and yy-intercept (0,4)(0,4) ? a) y=5x+4y=-5 x+4 b) y=5x+4y=5 x+4 c) y=5x4y=-5 x-4 d) y=5x4y=5 x-4
3. (Multiple Choice): Convert the equation 3x4y=123 x-4 y=12 to slope-intercept form. a) y=3/4x+3y=3 / 4 x+3 b) y=3/4x3y=3 / 4 x-3 c) y=4/3x+12y=4 / 3 x+12 d) y=4/3x12y=-4 / 3 x-12
4. (Free Response): Write the equation of a line parallel to y=2x+3y=2 x+3 passing through (1,2)(1,2).
5. (Free Response): Write the equation of a line passing through the points (0,4)(0,4) and (2,8)(2,8).
6. (Free Response): Find the slope of a line that passes through (3,7)(-3,7) and (4,1)(4,-1). Finish in Slope Intercept form!

Topic 2: Parallel vs Perpendicular vs Neither
1. (Multiple Choice): Determine whether the lines y=3x+2y=3 x+2 and y=1/3x5y=-1 / 3 x-5 are parallel, perpendicular, or neither. a) Parallel b) Perpendicular c) Neither

Studdy Solution
2.1 (Multiple Choice): Determine whether the lines y=3x+2 y = 3x + 2 and y=13x5 y = -\frac{1}{3}x - 5 are parallel, perpendicular, or neither.
Compare the slopes of the two lines: - First line slope: 3 3 - Second line slope: 13 -\frac{1}{3}
Two lines are perpendicular if the product of their slopes is 1-1:
3×13=1 3 \times -\frac{1}{3} = -1
The lines are perpendicular.
The correct answer is: b) Perpendicular

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