Question

a teacher presented students with four tables which table describes a linear function that has a slope of 2?​

Answer 1

Table 4

Explanation:

Table 4 has a slope of 2.

(12 - 4)/(4 - 0) = 2

Answer 2

Table 4

Explanation:

Just imagine the data tables are graphs, just presented in a different form.

How do you calculate the slope in a graph? You divide the variation of Y by the variation of X. That's the same thing here. Let's look at each table, and calculate the slope based on the first 2 rows of each table:

Table 1:

S = (1 - -1)/(2-6)= 2/-4 = -2, not the one we want.

Table 2:

S = (8 - 4) / (0 - 2) = 4 / -2 = -2, not the one we want.

Table 3:

S = (4 - 5)/(-4 - -2) = -1 / -2 = 1/2, not the one we want.

Table 4:

S = (0 - 4)/(-2 - 0) = -4 / -2 = 2. Yes! That's the one!