Question

Which ordered pair lies on the graph of the function y= -2x +1

Answer 1

Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.

Answer:

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

Step-by-step explanation:

Given the function

$y= -2x +1$

Any ordered pair which may satisfy the equation would lie on the graph.

Let us determine the x and y-intercepts.

Determining the x-intercept

We know that the x-intercept can be determined by setting y=0, and the solving for x. so

$y= -2x +1$

0 = -2x+1

-2x = -1

Divide both sides by -2

x = 1/2

Thus, the x-intercept is (1/2, 0)

Determining the y-intercept

We know that the y-intercept can be determined by setting x=0, and the solving for y. so

$y= -2x +1$

y = -2(0)+1

y = 1

Thus, the x-intercept is (0, 1)

Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.