Jennifer M. answered  08/27/19
Pre-AP Precal/Trig Teacher + Tutor for Nearly 15 Years
Over the interval x = 4 to x = 11.5:
x changes by: 11.5 – 4 = 7.5
Over the same interval, to find the change in y, we need to evaluate the equation for y at x=4 and x=11.5.
y(4) = 2(4)+7 = 15
y(11.5) = 2(11.5)+7 = 30
So the change in y is:
30 – 15 = 15
The change in y is double the change in x so the change in y is 2 times the change in x. Notice that the slope = 2. A slope of 2 tells us that the change in y will be 2 x the change in x.
    
            
                    
                    
                    
MARK A.
Hi, just wondering so I am confused on the next part of this question which is, i tried to come up with solutions for the "y" part but it was not correct. Thank you for your help! Suppose x varies from x= -6to x=− 6.1 Over this interval, how much does x change by? Over this interval, how much does y change by? Over this interval, the change in y is how many times as large as the change in x ?08/27/19