Section B Section B Checkpoint

Problem 1

Select all of the equations that are equivalent to 5x+4y=205x+4y=20.
A
5x=20−4y5x=20-4y
B
x=45y+4x=\frac{4}{5}y+4
C
y=-54x+5y=\frac{\text-5}{4}x + 5
D
5x+4y−6=145x + 4y - 6 = 14
E
10x+8y=2010x + 8y = 20
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Solution
A, C, D
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Sample Response
A, C, D

Problem 2

The equation 2x−3y=182x-3y=18 represents a relationship between xx and yy.
  1. Solve the equation for yy (to put it into slope-intercept form).
  2. What are these values for the equation?
    • slope:
    • yy-intercept: (‾,‾)(\underline{\hspace{.5in}},\underline{\hspace{.5in}})
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Solution
  1. y=23x−6,y=2x−183y = \frac{2}{3}x - 6, y = \frac{2x-18}{3}, or an equivalent equation in which yy is isolated.
  2. slope: 23\frac{2}{3}, intercept: (0,-6)(0,\text{-}6)
Show Sample Response
Sample Response
  1. y=23x−6,y=2x−183y = \frac{2}{3}x - 6, y = \frac{2x-18}{3}, or an equivalent equation in which yy is isolated.
  2. slope: 23\frac{2}{3}, intercept: (0,-6)(0,\text{-}6)