Match each set of points with the slope of the line formed by the ordered pairs.
Answers
1) The slope of the point (0,0) and (2,1) is 1/2.
2) The slope of the point (0,-1) and (2,-5) is -2.
3) The slope of the point (0,7) and (2,4) is -3/2.
4) The points (-1,3) and (-1,-3) has No slope.
5) The slope of the point (1,-3) and (-1,-3) is zero.
Step-by-step explanation:
There are five set of points given in the question.
You need to find out the slope of the line formed by the points.
The formula used to find the slope of a line is given by,
Slope =
1) The given points are (0,0) and (2,1)
(x1,y1) ⇒ (0,0)
(x2,y2) ⇒ (2,1)
Slope =
⇒ 1/2 is the slope.
2) The given points are (0,-1) and (2,-5)
(x1,y1) ⇒ (0,-1)
(x2,y2) ⇒ (2,-5)
Slope =
⇒
⇒ -2 is the slope.
3) The given points are (0,7) and (2,4)
(x1,y1) ⇒ (0,7)
(x2,y2) ⇒ (2,4)
Slope =
⇒ -3/2 is the slope.
4) The given points are (-1,3) and (-1,-3)
(x1,y1) ⇒ (-1,3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ -6/0 (No slope)
If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.
∴ There is no slope.
5) The given points are (1,-3) and (-1,-3)
(x1,y1) ⇒ (1,-3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ 0/-2
∴ The slope is zero.
1) The slope of the point (0,0) and (2,1) is 1/2.
2) The slope of the point (0,-1) and (2,-5) is -2.
3) The slope of the point (0,7) and (2,4) is -3/2.
4) The points (-1,3) and (-1,-3) has No slope.
5) The slope of the point (1,-3) and (-1,-3) is zero.
The slope of a line represents the rate at which the line rises or falls as you move horizontally along it. It's calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.
1. (0, 0) and (2, 1):
Slope = (1 - 0) / (2 - 0) = 1 / 2 = 0.5
The slope is positive, indicating a rising line.
2. (0, -1) and (2, -5):
Slope = (-5 - (-1)) / (2 - 0) = -4 / 2 = -2
The slope is negative, indicating a falling line.
3. (0, 7) and (2, 4):
Slope = (4 - 7) / (2 - 0) = -3 / 2
The slope is negative, indicating a falling line.
4. (-1, 3) and (-1, -3):
Slope = (-3 - 3) / (-1 - (-1)) = -6 / 0
The denominator is zero, indicating a vertical line. Vertical lines have undefined slopes.
5. (1, -3) and (-1, -3):
Slope = (-3 - (-3)) / (-1 - 1) = 0 / -2 = 0
The slope is zero, indicating a horizontal line.
Learn more about slope here
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1 10.7 2.4
2 13.7 2.5
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To find the mean of a set, add up all of the numbers and divide by how many numbers you have. For the first set:
u = (10.7+2.4)/2 = 6.55
For the second set:
u = (13.7 + 2.5)/2 = 8.1
To find the mean absolute deviation, (MAD) find the mean of the distances of each number from the mean.
First set:
MAD = (|10.7-6.55| + |2.4-6.55|)/2 = 4.15
Second set:
MAD = (|13.7-8.1| + |2.5-8.1|)/2 = 5.6
The means-to-MAD ratio is simply that, divide one by the other and that's it.
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For the second set:
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Find a polynomial s(x) such that p(x)+s(x)=2x^2+14
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The easiest way I have for knowing the difference between linear and nonlinear is the exponent value on the variable x. It is important to understand the root word in linear. It is LINE. A straight line, no curves .y = 2x - 3 This is linear because the exponent on x is one. Thus your slope is standard rise over run, like a stair step and simply goes up or down. I hope this helps :D
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