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(1,2)left parenthesis 1 comma 2 right parenthesis(1,7)left parenthesis 1 comma 7 right parenthesis
To determine which ordered pairs are part of the solution set for the equation y=2x+5, we can substitute the x and y values into the equation and check if it holds true.
Let's try the given ordered pairs one by one:
1. For (3,-1):
y = 2x + 5
-1 = 2(3) + 5
-1 = 6 + 5
-1 = 11 (This is not true, so (3,-1) is not part of the solution set)
2. For (7,1):
y = 2x + 5
1 = 2(7) + 5
1 = 14 + 5
1 = 19 (This is not true, so (7,1) is not part of the solution set)
3. For (1,2):
y = 2x + 5
2 = 2(1) + 5
2 = 2 + 5
2 = 7 (This is not true, so (1,2) is not part of the solution set)
4. For (1,7):
y = 2x + 5
7 = 2(1) + 5
7 = 2 + 5
7 = 7 (This is true, so (1,7) is part of the solution set)
Thus, the ordered pair (1,7) is part of the solution set for the equation y=2x+5.