The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' . What are the slope (m) and length of line AB ? Advised to use the distance formula to answer)

A. m=21, A'B'=3.5 √37
B. m=6, A'B'= √37
C. m=6, A'B'=3.5√37
D. m=21, A'B'=√37
E. m=6,A'B'=6√37

Question

The endpoints of  line AB are A(2, 2) and B(3, 8).  Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' . What are the slope (m) and length of line AB ? Advised to use the distance formula to answer)

A. m=21, A'B'=3.5 √37
B. m=6, A'B'= √37
C. m=6, A'B'=3.5√37
D. m=21, A'B'=√37
E. m=6,A'B'=6√37

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

slope will not change by dilation

ganeshie8 · Answer

so start by calculating the slope of given segment AB

ganeshie8 · Answer

A(2, 2) and B(3, 8)

slope of AB =  ?

anonymous · Answer

would the distance formula work for this problem?
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