3.2 Linear Functions
.pdf
School
University of Winnipeg**We aren't endorsed by this school
Course
MATHEMATIC 1301
Subject
Mathematics
Date
Jan 6, 2025
Pages
4
Uploaded by MasterBoulderDonkey30
Pre-calculus Review Workshop3.2 Linear Functions (no calculators)1. Determine the equation for each line from the graph. Express your answer in slope-intercept form.(a)-8-7-6-5-4-3-2-1012345678-8-7-6-5-4-3-2-1012345678f(b)-6-4-2246-6-4-2246g(c)-6-4-2246-6-4-2246h(d)-6-4-2246-6-4-2246p(e)-6-4-2246-6-4-2246q(f)-6-4-2246-6-4-2246r
2. Write each equation in slope-intercept form.(a) 4x+y=-8(b) 3x+y=-6(c)-y=-3-3x(d) 0 =-x-37y-157(e) 2x-3y=x+ 8(f)2y-36=x-y3. Determine the equation of the line that passes through the given points, with the given slope. Expressyour answer in slope-intercept form.(a) Passes through (-4,2) with slope-54.(b) Passes through (-1,-5) with slope53.(c) Passes through (3,4) with slope23.(d) Passes through (-2,7) with slope-49.4. Determine the equation for the line with the given properties.(a) Passes through (1,3), parallel toy=13x+ 1.(b) Passes through (2,4), parallel toy=-25x-2.(c) Passes through (1,0), parallel toy=-43x+ 2.(d) Passes through (-2,3), perpendicular toy=-32x+ 2.(e) Passes through (1,9), perpendicular toy= 2x+ 3.(f) Passes through (0,1), perpendicular toy=-13x+ 4.
5. Determine the equation of the line that passes through the given points.(a) The points (2,3) and (-1,4).(b) The points (2,1) and (1,3).(c) The points (3,-9) and (-2,8).(d) The points (6,8) and (1,-1).(e) The points (3,2) and (2,4).(f) The points (3,-4) and (-2,2).(g) The points (5,2) and (-3,9).(h) The points (1,-1) and (-2,3).
Answers1. (a)y= 2x+ 2(b)y=-2x+ 4(c)y=12x-1(d)y=-23x+ 3(e)y=32x-1(f)y=-45x+ 22. (a)y=-4x-8(b)y=-3x-6(c)y= 3x+ 3(d)y=-73x-5(e)y=13x-83(f)y=34x+383. (a)y=-54x-3(b)y=53x-10/3(c)y=23x+ 2(d)y=-49x+5594. (a)y=13x+83(b)y=-25x+245(c)y=-43x+43(d)y=23x+133(e)y=-12x+192(f)y= 3x+ 15. (a)y=-13x+113(b)y=-2x+ 5(c)y=-175x+65(d)y=95x-145(e)y=-2x+ 8(f)y=-65x-25(g)y=-78x+518(h)y=-43x+13