Vector u has a initial point of (3,3) and a terminal point (7,2). whats the magnitude

√17

Step-by-step explanation:

As we go from (3, 3) to (7, 2), x increases by 4 and y decreases by 1.  We want the distance from one point to the other and will apply the Pythagorean Theorem to calculate that.  

In this situation, a^2 + b^2 = c^2 becomes

                           4^2 + 1^2 = 17, and so the length of the hypotenuse, and

                                                     thus the magnitude of this vector, is √17.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct