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 i
s 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 <span>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 </span>
we know that <span>The square PQRS has vertices P(–8, 4), Q(–5, 4), R(–5, 1), and S(–8, 1)
step 1 find the slope m </span><span>of the line QS m=(y2-y1)/(x2-x1)-----> m=</span>(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 <span>the student had the slope incorrect </span><span>The student calculated the y-intercept correctly
the answer is the option </span><span>B. The student calculated the y-intercept correctly but did not calculate the slope correctly.</span>