Question

Which table describes a linear function that has a slope of 2?​

Answer 1

Answer:

Table (4)

Step-by-step explanation:

Slope of a line passing through  two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

From the table (1),

Two points lying on the graph are (2, 1) and (6, -1).

Slope of the line = $\frac{1+1}{2-6}$ = $-\frac{1}{2}$

From the table (2),

Two points lying on the linear function are (0, 8) and (2, 4).

Slope of the line =  $\frac{8-4}{0-2}$ = -2

From the table (3),

Two points are (-4, 4) and (-2, 5).

Slope of the line = $\frac{5-4}{-2+4}$ = $\frac{1}{2}$

From table (4),

Two points lying on the function are (-2, 0) and (0, 4).

Slope of the line = $\frac{4-0}{0+2}=2$

Therefore, Table (4) represents a linear function with slope 2.