| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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\({\Delta y \over \Delta x}\) |
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x-intercept |
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y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
If AD = 13 and BD = 11, AB = ?
| 14 | |
| 2 | |
| 10 | |
| 4 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhat is 3a - 7a?
| -4a | |
| 10 | |
| a2 | |
| 21a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a - 7a = -4a
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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acute, obtuse |
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supplementary, vertical |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Solve for y:
3y + 2 > \( \frac{y}{3} \)
| y > -\(\frac{3}{4}\) | |
| y > 4 | |
| y > 1\(\frac{1}{47}\) | |
| y > \(\frac{18}{35}\) |
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 > sign and the answer on the other.
3y + 2 > \( \frac{y}{3} \)
3 x (3y + 2) > y
(3 x 3y) + (3 x 2) > y
9y + 6 > y
9y + 6 - y > 0
9y - y > -6
8y > -6
y > \( \frac{-6}{8} \)
y > -\(\frac{3}{4}\)