The square pqrs has vertices p(–8, 4), q(–5, 4), r(–5, 1), and s(–8, 1). a student determined that the equation of the line qs is y=-1+9. evaluate the student’s response. a. the student calculated the equation correctly. b. the student calculated the y-intercept correctly but did not calculate the slope correctly. c. the student calculated the slope correctly but did not calculate the y-intercept correctly. d. the student calculated neither the slope nor y-intercept correctly.

The correct question is
The square PQRS has vertices P(–8, 4), Q(–5, 4), R(–5, 1), and S(–8, 1). A student determined that the equation of the line QS is y=-1x+9. Evaluate the student’s response


we know that
The square PQRS has vertices P(–8, 4), Q(–5, 4), R(–5, 1), and S(–8, 1)

step 1
find the slope m of the line QS
m=(y2-y1)/(x2-x1)> m=(1-4)/(-8+5)---> m=-3/-3> m=1

step 2
with m=1 and point Q(–5, 4)
find the equation of the line QS
y-y1=m*(x-x1)> y-4=1*(x+5)> y=x+5+4> y=x+9

therefore
the student had the slope incorrect
The student calculated the y-intercept correctly

the answer is the option
B. The student calculated the y-intercept correctly but did not calculate the slope correctly.

Dis the correct  answer