Question

Use the image to answer the question.

A graph shows both the x-axis and y-axis, ranging from negative 10 to 10 in increments of 5. A line passes through the first, second, and third quadrants.

Which of the following ordered pairs is part of the solution set for the equation y=2x+5 ?

(1 point)
Responses

(3,−1)
left parenthesis 3 comma negative 1 right parenthesis

(7,1)
left parenthesis 7 comma 1 right parenthesis

(1,7)
left parenthesis 1 comma 7 right parenthesis

(1,2)

Answer 1

To determine which ordered pairs are part of the solution set for the equation y=2x+5, we need to substitute the x-coordinate and y-coordinate of each ordered pair into the equation and check if the equation holds true.

Let's substitute the values from the ordered pairs into the equation:

For (3,-1):
y = 2x + 5
-1 = 2(3) + 5
-1 = 6 + 5
-1 = 11

The equation does not hold true for (3,-1), so it is not part of the solution set.

For (7,1):
y = 2x + 5
1 = 2(7) + 5
1 = 14 + 5
1 = 19

The equation does not hold true for (7,1), so it is not part of the solution set.

For (1,7):
y = 2x + 5
7 = 2(1) + 5
7 = 2 + 5
7 = 7

The equation holds true for (1,7), so it is part of the solution set.

For (1,2):
y = 2x + 5
2 = 2(1) + 5
2 = 2 + 5
2 = 7

The equation does not hold true for (1,2), so it is not part of the solution set.

Therefore, the only ordered pair that is part of the solution set for y=2x+5 is (1,7).