The endpoints of are a(2, 2) and b(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . what are the slope (m) and length of ? use the distance formula to you decide: .

The slope is m=6 and length of line is

Step-by-step explanation:

Given : 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' .

To find : What are the slope (m) and length of line AB?

Solution :

The slope of a line does not change.

Slope formula is,

The slope of AB A(2, 2) and B(3, 8) is :  

Distance formula,

The length of AB by distance formula,

Line AB is dilated by a scale factor of 3.5.     

The length of A'B' is :

Therefore, The slope is m=6 and length of line is

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i