What is the slope of the line represented by the tables of values below?
x y
0 -20
1 -10
2 0
3 10
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Answers choices
a. 2
b. 3
c. 10
d. 20
To find the slope of the line represented by the tables of values, you can use the slope formula. The slope of a line (m) is defined as the change in y divided by the change in x between any two points on the line.
Let's pick two points from the table, (1, -10) and (2, 0), and calculate the slope.
The change in y is the difference in the y-coordinates of the two points:
Δy = y₂ - y₁ = 0 - (-10) = 10
The change in x is the difference in the x-coordinates of the two points:
Δx = x₂ - x₁ = 2 - 1 = 1
Now we can use the slope formula:
m = Δy / Δx = 10 / 1 = 10
Therefore, the slope of the line represented by the tables of values is 10.
If you have two points (a,b) and (c,d)
then the slope for the 2 points
= (d-b)/(c-a)
apply to your case, show me your work