B) (6, -1) and (-4, 10)
C) (-1, 6) and (10, -4)
D) (6, -1) and (10, -4
The point pair establishing a line with a slope of -4/3 is (-1, 6) and (-4, 10). which is the correct answer would be an option (A).
The slope of a line is defined as the gradient of the line.
To determine the slope of a line, we can use the formula: slope m = (y₂ - y₁)/(x₂ -x₁ )
Using this formula, we can calculate the slope for each of the pairs of points given:
A) (-1, 6) and (-4, 10):
slope = (10 - 6)/(-4 - (-1)) = -4/3
B) (6, -1) and (-4, 10):
slope = (10 - (-1))/(-4 - 6) = -11/10
C) (-1, 6) and (10, -4):
slope = (-4 - 6)/(10 - (-1)) = -10/11
D) (6, -1) and (10, -4):
slope = (-4 - (-1))/(10 - 6) = -3/4
Therefore, the pair of points that defines a line with a slope of -4/3 is (-1, 6) and (-4, 10).
Learn more about the Slope of Line here:
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Slope is defined as (y2-y1)/(x2-x1)
"A" gives a slope of (10-6)/(-4-(-1))=4/-3=-4/3
Hope this helped
Answer:
AM = 26
Step-by-step explanation:
AM = MC
x+20 = 5x-4
Subtract x from each side
x+20-x = 5x-x-4
20 = 4x-4
Add 4 to each side
20+4 = 4x-4+4
24 = 4x
Divide by 4
24/4 = 4x/4
6 =x
We want AM
AM = x+20
=6+20
=26
Answer:
26
Step-by-step explanation:
x+20=5x-4
x+24=5x
24=4x
x=6
x+20
substitute 6 for x
6+20
26
Answer:
8
Step-by-step explanation:
2 wool cards are worth 1 ore card. 6 wool cards are worth 3 ore cards and 8 are worth 4. So for every 2 wool cards there will be 1 ore card. Hope this helps.
Answer:
8
Step-by-step explanation:
the pattern shows for 1 ore card there are 2 wool cards on each step on the number line.
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