| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
The endpoints of this line segment are at (-2, -3) and (2, 3). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x + 1 | |
| y = 1\(\frac{1}{2}\)x + 0 | |
| y = -\(\frac{1}{2}\)x + 2 | |
| y = -\(\frac{1}{2}\)x - 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 0. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -3) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 0
Solve for a:
-8a + 2 = -5 + a
| -3 | |
| \(\frac{5}{6}\) | |
| \(\frac{7}{9}\) | |
| -1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-8a + 2 = -5 + a
-8a = -5 + a - 2
-8a - a = -5 - 2
-9a = -7
a = \( \frac{-7}{-9} \)
a = \(\frac{7}{9}\)
A quadrilateral is a shape with __________ sides.
3 |
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5 |
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2 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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First |
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Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Simplify (9a)(2ab) - (2a2)(7b).
| 99ab2 | |
| 32a2b | |
| -4ab2 | |
| 4a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(2ab) - (2a2)(7b)
(9 x 2)(a x a x b) - (2 x 7)(a2 x b)
(18)(a1+1 x b) - (14)(a2b)
18a2b - 14a2b
4a2b