SOLUTION: Which statement descibes the change to the graph of f(x)=3x+2 when f(x)=-(1/3x)+1 is graphed? Answer Choices: A) The y-intercept changes from 2 to 1, and the new graph is per

Question 66094: Which statement descibes the change to the graph of f(x)=3x+2 when f(x)=-(1/3x)+1 is graphed?
Answer Choices:
A) The y-intercept changes from 2 to 1, and the new graph is perpendicular to the original graph.
B) The graph of the line moves left 1 unit, and the slope changes from 3 to
-(1/3)
C) The graphs of the lines are perependicular and meet at their y-intercepts.
D) The graph of the line moves left 1 unit and down 3 units.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Which statement describes the change to the graph of f(x)=3x+2 when f(x)=-(1/3x)+1 is graphed?
:
No doubt you strongly suspect that a slope of 3 would be perpendicular to a slope of -1/3.
You can prove that: slope1*slope2 = -1 when lines are perpendicular
3*-(1/3) = -1, so we know that it will be choice A) or C)
:
y intercept occurs when x = 0, therefore 3x+2 has a y intercept of 2 and
-1/3x + 1 has a y intercept of 1, proving that A) is the choice.
Answer Choices:
A) The y-intercept changes from 2 to 1, and the new graph is perpendicular to the original graph.
B) The graph of the line moves left 1 unit, and the slope changes from 3 to
-(1/3)
C) The graphs of the lines are perependicular and meet at their y-intercepts.
D) The graph of the line moves left 1 unit and down 3 units.
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