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Function A and Function B are linear functions. Function A y = ⅖x Function B [Graph of a line through (0,...

Function A and Function B are linear functions.
Function A
y = ⅖x
Function B
[Graph of a line through (0, −3) and (6, 0).]
Select all the statements that are true.
The slope of Function A is less than the slope of Function B.
The slope of Function A is greater than the slope of Function B.
The y-intercept of Function A is less than the y-intercept of Function B.
The y-intercept of Function A is greater than the y-intercept of Function B.

Answer

Select the first and fourth statements.

  1. True. Function A has slope 2/5, and Function B has slope 1/2. Since 2/5 < 1/2, Function A has the smaller slope.
  2. False. Function A's slope is smaller, not greater.
  3. False. Function A has y-intercept 0, and Function B has y-intercept −3.
  4. True. Since 0 > −3, Function A has the greater y-intercept.

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