Assignment Task
1. In each part that follows, you are given an equation of a line and a point. Find the equation of the line through the given point that is perpendicular to the given line. (The slope of the perpendicular line is the negative reciprocal of the slope of the given line if the given line is neither vertical nor horizontal.)
(a)y = 7x, P(0,0)
(b)y = 4x + 7, Q(1,6)
(a) y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)
(b) y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the
expression.)
2. A student thinks that the expressions and are equal to one another. How would you explain to the student why this is not so?
(a + b)2 and a + b2
Choose the correct answer below.
This is (1) because, for example, is equal to when a 4 and b 6, while is equal to .
(a + b)
2 = = a + b2
Determine the general formula.
(a + b)2 =
Show your work below.
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Get Help Now!3. Students created the following table. What pattern do most elementary school students see first?
x 1 2 3 4 5 10
y 3 5 7 9 11 ?
Choose the correct answer below. Use the Show Work learning aid to provide related calculations and additional reasoning to support your answer.
A. Most students see the first row, and they jump to an answer of “adding 1 each time.”
B. Most students see the first row, and they jump to an answer of “dividing by 2 each time.”
C. Most students see the second row, and they jump to an answer of “subtracting 2 each time.”
D. Most students see that the second row lists odd numbers in ascending order and they jump to an answer of “adding 2 each time”.
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