What is the slope of the line represented by the values in the table?
x
y
10
14
2
–2
3
0
7
8
20
34
Negative 2
StartFraction 1 Over negative 2 EndFraction
One-half
2
To find the slope of the line, we need to determine the change in y divided by the change in x for any two points on the line.
Using the values from the table:
Change in x = 2 - 0 = 2
Change in y = -2 - 0 = -2
Slope = Change in y / Change in x
Slope = -2 / 2
Slope = -1
Therefore, the slope of the line represented by the values in the table is -1.
To find the slope of the line represented by the values in the table, we can use the formula for slope:
slope = (change in y)/(change in x)
Looking at the table, we can identify two points on the line: (2, -2) and (7, 8). Let's calculate the change in y and change in x:
change in y = 8 - (-2) = 10
change in x = 7 - 2 = 5
Now, we can substitute these values into the formula for slope:
slope = (change in y)/(change in x) = 10/5 = 2
Therefore, the slope of the line represented by the values in the table is 2.