Question

Mr. Ling defined two linear functions. He represented one function with a table of values and graphed the other function, as shown below

Which statement is true about the slope?
F. The slope of the function in the table is equal to the slope of the function in the graph
G. The slope of the function in the table is the opposite of the slope of the function in the graph.
H. The slope of the function in the table is the reciprocal of the slope of the function in the graph.
J. The slope of the function in the table is the opposite reciprocal of the slope of the function in the graph.
PLEASE HELP I REALLY NEED IT TO PASS ALGEBRA!!!! please please help

Answer 1

G. The slope of the function in the table is the opposite of the slope of the function in the graph.

Explanation:

Let's calculate the the slope of the function represented by values on a table and also the function represented on a graph.

Slope of the function represented by the table:

Use any two pairs. Let's use (1, 1) and (2, 4).

`slope(m) = [tex] (y_2 - y_1)/(x_2 - x_1) = (4 - 1)/(2 - 1) = (3)/(1) = 3`

The slope of the linear function represented by the table of values is 3.

Slope of the function represented by the graph:

Use any the coordinates of any two points on the line graph. Let's use (0, 4) and (1, 1).

`slope(m) = [tex] (y_2 - y_1)/(x_2 - x_1) = (1 - 4)/(1 - 0) = (-3)/(1) = -3`

Therefore, the statement that is correct is:

"G. The slope of the function in the table is the opposite of the slope of the function in the graph."

3 is the opposite of -3.