Question

Graph y= 2x – 5 using theinteractive graphing calculator.Which of the following statementsare true?

a. The line increases from left toright
b. The line crosses the x-axis at 102.5.
c. The line crosses the y-axis at5.
d. As the input increases, theoutput decreases.
e. The line does not enteranadrant Il at all​

Answer 1

The line represented by the equation y = 2x - 5 has a positive slope and crosses the y-axis at -5. The x-intercept is 2.5, not 102.5. The line does not increase from left to right. Therefore, the correct options are b) and c).

Step-by-step explanation:

The line represented by the equation y = 2x - 5 has a positive slope.

As the x-value increases, the y-value of the line will increase.

Therefore, statement d, which says that as the input increases, the output decreases, is false.

Since the y-intercept is -5, the line crosses the y-axis at -5.

Therefore, statement c is true. However, statement b, which claims that the line crosses the x-axis at 102.5, is false.

The x-intercept can be found by setting y to zero and solving for x, which in this case is x = 2.5.

Lastly, the line represented by the equation y = 2x - 5 gradually moves upward on the graph as the x-value increases.

Therefore, statement a, which claims that the line increases from left to right, is false.

Therefore, the correct options are b) and c).