Find the slope of the line represented by the table of values.
table:
y - -5, -2, 1, 4, 7
x - 10, 5, 0 -5, -10
A. 3/5
B. 5/3
C. -3/5
D. -5/3
To find the slope of the line represented by the table of values, you can use the formula for slope, which is change in y divided by change in x, often written as (Δy/Δx).
Let's look at two points from the table to calculate the slope:
Point 1: (x1, y1) = (10, -5)
Point 2: (x2, y2) = (5, -2)
Now let's calculate the changes (Δy and Δx):
Δy = y2 - y1 = -2 - (-5) = -2 + 5 = 3
Δx = x2 - x1 = 5 - 10 = -5
Now let's find the slope (m):
m = Δy/Δx = 3/(-5) = -3/5
So the slope of the line is -3/5, which corresponds to option C.