Finding A Slope Given Two Points

1) Find the slope of the line passing through the points (-3,-3), (2,2).

-3

3

2

-2

1

The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (-3,-3) and (2,2). Plugging these values into the formula, we get (2 - (-3)) / (2 - (-3)) = 5 / 5 = 1. Therefore, the slope of the line passing through these points is 1.

Explanation

The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (-3,-3) and (2,2). Plugging these values into the formula, we get (2 - (-3)) / (2 - (-3)) = 5 / 5 = 1. Therefore, the slope of the line passing through these points is 1.

2) Find the slope of the line passing through the points (2,1), (0,1).

0

1

1/2

2/1

-1

The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the points are (2,1) and (0,1). Plugging these values into the formula, we get (1 - 1) / (0 - 2) = 0/(-2) = 0. Therefore, the slope of the line passing through these points is 0.

Explanation

The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the points are (2,1) and (0,1). Plugging these values into the formula, we get (1 - 1) / (0 - 2) = 0/(-2) = 0. Therefore, the slope of the line passing through these points is 0.

3) Find the slope of the line passing through the points (2,5), (2,8).

1/2

-3

-1/2

2

Undefined

The slope of a line passing through two points is found using the formula (y2 - y1) / (x2 - x1). In this case, the x-coordinates of both points are the same (2), which means the denominator of the formula would be 0. Division by zero is undefined in mathematics, so the slope of the line passing through these points is also undefined.

Explanation

The slope of a line passing through two points is found using the formula (y2 - y1) / (x2 - x1). In this case, the x-coordinates of both points are the same (2), which means the denominator of the formula would be 0. Division by zero is undefined in mathematics, so the slope of the line passing through these points is also undefined.

4) What is the slope of the line passing through the points (4,2), (8,4)?

-1/2

2

8

1/2

-4

The slope of a line passing through two points can be found using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. In this case, the coordinates are (4,2) and (8,4). Plugging these values into the formula, we get (4-2)/(8-4) = 2/4 = 1/2. Therefore, the slope of the line passing through these points is 1/2.

Explanation

The slope of a line passing through two points can be found using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. In this case, the coordinates are (4,2) and (8,4). Plugging these values into the formula, we get (4-2)/(8-4) = 2/4 = 1/2. Therefore, the slope of the line passing through these points is 1/2.

5) Find the slope of the line passing through the points (-6,2), (0,-6).

-6

2

-4/3

0

-3/1

The slope of a line passing through two points can be found using the formula: slope = (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (-6,2) and (0,-6). Plugging these values into the formula, we get: slope = (-6 - 2) / (0 - (-6)) = -8 / 6 = -4/3. Therefore, the correct answer is -4/3.

Explanation

The slope of a line passing through two points can be found using the formula: slope = (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (-6,2) and (0,-6). Plugging these values into the formula, we get: slope = (-6 - 2) / (0 - (-6)) = -8 / 6 = -4/3. Therefore, the correct answer is -4/3.

6) The slope of the line passing through the points (1,4), (-7,4) is ___________.

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 of 4, indicating that there is no change in the y-coordinate. Therefore, the change in y-coordinates is 0. Since any number divided by 0 is undefined, the slope of the line passing through these points is undefined. In terms of slope types, a line with an undefined slope is considered to be vertical, not horizontal. Therefore, the given answer of "horizontal" is incorrect.

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 of 4, indicating that there is no change in the y-coordinate. Therefore, the change in y-coordinates is 0. Since any number divided by 0 is undefined, the slope of the line passing through these points is undefined. In terms of slope types, a line with an undefined slope is considered to be vertical, not horizontal. Therefore, the given answer of "horizontal" is incorrect.

Submit

7) Find the slope of the line passing through the points (5,-1), (-2,-3).

2/7

-5/2

-1

-2/7

-3

To find the slope of a line passing through two points, we use the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (5, -1) and (-2, -3). Plugging these values into the formula, we get (-3 - (-1)) / (-2 - 5) = -2 / -7 = 2/7. Therefore, the slope of the line passing through these points is 2/7.

Explanation

To find the slope of a line passing through two points, we use the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (5, -1) and (-2, -3). Plugging these values into the formula, we get (-3 - (-1)) / (-2 - 5) = -2 / -7 = 2/7. Therefore, the slope of the line passing through these points is 2/7.