Question

There is a line with points being: (-4, 1), (3, 3)


Determine the slope of the line.

Answer 1

There is a table with the contents being:
x :: -2, 2, 10
y :: 1, 2, 4


Determine the slope of the line.

Answer 2

There is a line on a graph with points being: (-1, 1), (3, 1)


what is the equation for this line?

Answer 3

To determine the slope of a line, you can use the formula:

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

Where:
- (x1, y1) = (-4, 1)
- (x2, y2) = (3, 3)

Now plug in the values:

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

Therefore, the slope of the line passing through the points (-4, 1) and (3, 3) is 2/7.

Answer 4

To determine the slope of the line passing through the points (-2, 1) and (10, 4), you can use the formula:

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

Where:
- (x1, y1) = (-2, 1)
- (x2, y2) = (10, 4)

Now plug in the values:
m = (4 - 1) / (10 - (-2))
m = 3 / 12
m = 1/4

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

Answer 5

To find the equation of the line passing through the points (-1, 1) and (3, 1), we need to first determine the slope of the line. The slope can be calculated using the formula:

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

Where:
- (x1, y1) = (-1, 1)
- (x2, y2) = (3, 1)

Now, plug in the values:

m = (1 - 1) / (3 - (-1))
m = 0 / 4
m = 0

Since the slope is 0, the line is horizontal. Therefore, the equation of the line can be written in the form y = c, where c is the y-coordinate of either point on the line. Let's use the point (-1, 1) to find the equation:

y = 1

Therefore, the equation of the line passing through the points (-1, 1) and (3, 1) is y = 1, which represents a horizontal line at y = 1.