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Alexus [3.1K]
3 years ago
6

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.
Mathematics
1 answer:
anastassius [24]3 years ago
7 0
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>
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