1.
Which type of slope is shown?
Correct Answer
C. Undefined
2.
Which type of slope is shown?
Correct Answer
A. Positive
Explanation
The given answer is "Positive" because a positive slope indicates that the line is increasing from left to right. In other words, as the x-values increase, the corresponding y-values also increase.
3.
Which type of slope is shown?
Correct Answer
B. Negative
Explanation
The given answer, "Negative," is correct because a negative slope indicates that the line is decreasing as it moves from left to right. In other words, as the x-values increase, the y-values decrease.
4.
Which type of slope is shown?
Correct Answer
D. No Slope
Explanation
No slope means that the line is horizontal and has a slope of zero. In this case, the question is asking about the type of slope shown, and since the answer is "No Slope," it means that the line is horizontal and has a slope of zero.
5.
Find the slope of the line that passes through the pair of points.
(â€“3, â€“2), (5, 4)
Correct Answer
A.
Explanation
To find the slope of a line passing through two points, we can use the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the first point are (-3, -2) and the coordinates of the second point are (5, 4). Plugging these values into the formula, we get (4 - (-2)) / (5 - (-3)) = 6 / 8 = 3 / 4. Therefore, the slope of the line passing through these two points is 3/4.
6.
Write an equation of the line with the given slope and y-intercept
Correct Answer
D.
Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, since the slope and y-intercept are given, we can directly substitute the values into the equation.
7.
Write an equation of the line with the given slope and y-intercept
slope: 1.6, y-intercept: 4
Correct Answer
A. Y = 1.6x + 4
Explanation
The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given slope is 1.6 and the y-intercept is 4. Therefore, the correct equation is y = 1.6x + 4.
8.
Write an equation of the line that passes through each point with the given slope.
(-3, -4) m = 3
Correct Answer
D. Y = 3x + 5
Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given slope is m = 3. To find the equation of the line, we can substitute the slope into the equation as y = 3x + b. To find the value of b, we can use one of the given points on the line. Substituting (-3, -4) into the equation, we get -4 = 3(-3) + b. Solving for b, we find b = 5. Therefore, the equation of the line is y = 3x + 5.
9.
Write an equation of the line that passes through each point with the given slope.
(0, 9) m = 5
Correct Answer
B. Y = 5x + 9
Explanation
The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given slope is 5. Since the line passes through the point (0, 9), the y-intercept is 9. Therefore, the equation of the line that passes through the point (0, 9) with a slope of 5 is y = 5x + 9.
10.
Write an equation of the line that passes through the pair of points.
( -5, -2 ) ( 3, -1 )
Correct Answer
B.
Explanation
The equation of the line passing through the points (-5, -2) and (3, -1) can be found using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we use the formula m = (y2 - y1) / (x2 - x1), substituting the coordinates of the points (-5, -2) and (3, -1). After calculating the slope, we can substitute one of the points and the slope into the equation y = mx + b, and solve for b. Thus, the equation of the line is y = (1/8)x - 17/8.
11.
Write an equation of the line that passes through the pair of points.
( 2, -4 ) ( 3, 6 )
Correct Answer
B. Y = 10x - 24
Explanation
The equation of a line passing through two points (x1, y1) and (x2, y2) can be found using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we use the formula: m = (y2 - y1) / (x2 - x1).
Substituting the given points (2, -4) and (3, 6), we get: m = (6 - (-4)) / (3 - 2) = 10 / 1 = 10.
Now that we have the slope, we can substitute it into the equation along with one of the given points to find the y-intercept (b). Using point (2, -4), we get: -4 = 10(2) + b. Solving for b, we find: b = -24.
Therefore, the equation of the line passing through the given points is y = 10x - 24.
12.
Find the slope of the line that passes through the pair of points.
( -2, 1 ) ( -5, 1 )
Correct Answer
B. 0
Explanation
The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points on the line. In this case, both points have the same y-coordinate, which means there is no change in the y-coordinate. Therefore, the slope is 0.