What is the slope of the line that passes through the pair of points?
(1, 7), (10, 1)
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-5/3, 1) and (-2, 9/2), we can substitute the values into the formula:
m = ((9/2) - 1) / (-2 - (-5/3))
m = (9/2 - 2/2) / (-2 + 5/3)
m = (7/2) / (-1/2 + 5/3)
m = (7/2) / (-1/2 + 15/6)
m = (7/2) / (-1/2 + 15/6)
m = (7/2) / (3/6 - 1/2)
m = (7/2) / (-1/6)
m = (7/2) * (-6/1)
Simplifying, we get:
m = -42/2
m = -21
Therefore, the slope of the line passing through the points (-5/3, 1) and (-2, 9/2) is -21.
The slope of the line that passes through the pair of points (1, 7) and (10, 1) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates of the two points, we have:
m = (1 - 7) / (10 - 1)
m = -6 / 9
m = -2/3
Therefore, the slope of the line is -2/3.
What is the slope of the line that passes through the pair of points?
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (1, 7) and (10, 1), we can substitute the values into the formula:
m = (1 - 7) / (10 - 1)
m = -6 / 9
The slope is -6/9, which can be simplified to -2/3.
What is the slope of the line that passes through the pair of points?
(–5.5, 6.1), (–2.5, 3.1)
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (–5.5, 6.1) and (–2.5, 3.1), we can substitute the values into the formula:
m = (3.1 - 6.1) / (–2.5 - (–5.5))
Simplifying, we get:
m = (3.1 - 6.1) / (–2.5 + 5.5)
m = -3 / 3
The slope is -3/3, which can be simplified to -1.
What is the slope of the line that passes through the pair of points?
(-5.5, 6.1), (-2.5, 3.1)
The slope of the line that passes through the pair of points (-5.5, 6.1) and (-2.5, 3.1) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates of the two points, we have:
m = (3.1 - 6.1) / (-2.5 - (-5.5))
m = (3.1 - 6.1) / (-2.5 + 5.5)
m = -3 / 3
m = -1
Therefore, the slope of the line is -1.
What is the slope of the line that passes through the pair of points?
(-5/3, 1), (-2,9/2)
Given the points (-5/3, 1) and (-2, 9/2), we can substitute the values into the formula:
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-5/3, 1) and (-2, 9/2), we can substitute the values into the formula:
m = (9/2 - 1) / (-2 - (-5/3))
m = (9/2 - 2/2) / (-2 + 5/3)
m = (7/2) / (-6/3 + 5/3)
m = (7/2) / (-1/3)
m = (7/2) * (-3/1)
Simplifying, we get:
m = -21/2
Therefore, the slope of the line passing through the points (-5/3, 1) and (-2, 9/2) is -21/2.
Given the points (-5/,3, 1) and (-2, 9/2), we can substitute the values into the formula:
It seems like there might be a typo in one or both of the coordinates you provided. The first coordinate (-5/,3, 1) appears to have an incomplete value. Could you please provide the correct values for the points?
What is the slope of the line that passes through the pair of points?
(-5/3,-1), (-2,9/2)
To find the slope of the line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-5/3, -1) and (-2, 9/2), we can substitute the values into the formula:
m = ((9/2) - (-1)) / (-2 - (-5/3))
m = (9/2 + 1) / (-2 + 5/3)
m = (9/2 + 2/2) / (-2 + 15/3)
m = (11/2) / (-2 + 15/3)
m = (11/2) / (-2 + 5)
m = (11/2) / 3
To divide by a fraction, we can multiply by its reciprocal:
m = (11/2) * (1/3)
m = 11/6
Therefore, the slope of the line passing through the points (-5/3, -1) and (-2, 9/2) is 11/6.
Find the rate of change represented in each situation.
The graph shows the altitude y , in meters, of a weather balloon x seconds after launch.
To find the rate of change represented in this situation, we need additional information. Specifically, we need to know the altitude of the weather balloon at two different times in seconds after launch. With that information, we can calculate the rate of change, which represents the change in altitude (y) per unit change in time (x seconds). Please provide the specific altitudes at two different times, and I can help you calculate the rate of change.
The cost of a monthly cell phone plan, in dollars, is modeled by the function, c(x)=0.6x+30where x is the number of text messages.
To find the rate of change in this situation, we can use the function representing the cost of a monthly cell phone plan:
c(x) = 0.6x + 30
The rate of change in this case represents the change in cost (c) per unit change in the number of text messages (x).
The rate of change is equal to the coefficient of x, which is 0.6 in this case.
Therefore, the rate of change is 0.6. This means that for every additional text message sent, the cost of the monthly cell phone plan increases by 0.6 dollars.