| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The endpoints of this line segment are at (-2, -3) and (2, 5). What is the slope of this line?
| 2 | |
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -2 |
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, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Simplify (y + 3)(y - 7)
| y2 - 4y - 21 | |
| y2 + 4y - 21 | |
| y2 + 10y + 21 | |
| y2 - 10y + 21 |
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:
(y + 3)(y - 7)
(y x y) + (y x -7) + (3 x y) + (3 x -7)
y2 - 7y + 3y - 21
y2 - 4y - 21
A quadrilateral is a shape with __________ sides.
5 |
|
4 |
|
2 |
|
3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 2 | |
| 45 | |
| 21 | |
| 27 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21
The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x - 1 | |
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = x + 4 | |
| y = \(\frac{1}{2}\)x + 0 |
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 2. 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, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 2