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1 answer:
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Answer:
No, the student's work is not correct.
Step-by-step explanation:
Given : Student expanded an expression, as shown.
To find : Is the student's work correct?
Solution :
The expansion of student is not correct.
Follow the below steps to get correct solution and student mistake,
Step 1 - Write the expression,
Step 2 - Apply distributive property,
Step 3 - Solve,
The student was mistaken in step 2 in solving the sign.
I)
The Midpoint M of the line segment AB is found using the Midpoint formula:
ii)
the slope of the line through A and B is found by the slope formula:
iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
The Midpoint M of the line segment AB is found using the Midpoint formula:
ii)
the slope of the line through A and B is found by the slope formula:
iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6