Question

Table: x -3, -2, -1 y: 0,3,6

Write the equation slope form

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation in slope-intercept form, we need to find the slope (m) and the y-intercept (b).

First, we can find the slope by using the formula:
m = (y2 - y1) / (x2 - x1)

Using the given points (-3, 0) and (-1, 6):
m = (6 - 0) / (-1 - (-3))
m = 6 / 2
m = 3

Now that we have the slope, we can use one of the given points to find the y-intercept:
Using the point (-1, 6) and the slope m = 3:
y = mx + b
6 = 3(-1) + b
6 = -3 + b
b = 9

Therefore, the equation in slope-intercept form is:
y = 3x + 9

Answer 2

Determine the slope of the line A:-4,1 B: 3,3

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line passing through points A(-4, 1) and B(3, 3), we use the formula for slope:

m = (y2 - y1) / (x2 - x1)

Substitute the coordinates of the points into the formula:

m = (3 - 1) / (3 - (-4))
m = 2 / 7

Therefore, the slope of the line passing through points A and B is 2/7.

Answer 4

Determine the slope of the line A:1,-2 B:6,1

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line passing through points A(1, -2) and B(6, 1), we use the formula for slope:

m = (y2 - y1) / (x2 - x1)

Substitute the coordinates of the points into the formula:

m = (1 - (-2)) / (6 - 1)
m = 3 / 5

Therefore, the slope of the line passing through points A and B is 3/5.

Answer 6

Table: x -2, 2, 10 y: 1, 2 ,4

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line using the given points (-2, 1), (2, 2), and (10, 4), we need to determine if the points lie on the same line. We can do this by checking if the slope between any two pairs of points is the same.

Let's check the slopes between the pairs of points:

- For points (-2, 1) and (2, 2):
m1 = (2 - 1) / (2 - (-2))
m1 = 1 / 4

- For points (-2, 1) and (10, 4):
m2 = (4 - 1) / (10 - (-2))
m2 = 3 / 12
m2 = 1 / 4

The slope between the pairs (-2, 1) and (2, 2) is 1/4, and the slope between the pairs (-2, 1) and (10, 4) is also 1/4. Since the slopes are the same, the points lie on the same line.

Therefore, the slope of the line passing through the points (-2, 1), (2, 2), and (10, 4) is 1/4.