Ford Pena
08/23/2023 · Junior High School
Which points are solutions to the equation \( y=3 x+5 \) ? Select all that apply. \( \square(-7,-16) \) \( \square(-3,-1) \) \( \square(-2,1) \) \( \square(7,16) \) \( \square(2,11) \) \( \square(7) \)
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Tutor-Verified Answer
Step-by-step Solution
To determine which points are solutions to the equation \( y = 3x + 5 \), we will substitute the \( x \) values of each point into the equation and see if the resulting \( y \) value matches the \( y \) value of the point.
1. For the point \((-7, -16)\):
\[
y = 3(-7) + 5 = -21 + 5 = -16
\]
This point is a solution.
2. For the point \((-3, -1)\):
\[
y = 3(-3) + 5 = -9 + 5 = -4
\]
This point is not a solution.
3. For the point \((-2, 1)\):
\[
y = 3(-2) + 5 = -6 + 5 = -1
\]
This point is not a solution.
4. For the point \((7, 16)\):
\[
y = 3(7) + 5 = 21 + 5 = 26
\]
This point is not a solution.
5. For the point \((2, 11)\):
\[
y = 3(2) + 5 = 6 + 5 = 11
\]
This point is a solution.
6. The point \((7)\) is not a valid point since it does not have a \( y \) value.
Thus, the points that are solutions to the equation \( y = 3x + 5 \) are:
- \((-7, -16)\)
- \((2, 11)\)
So the final answer is:
- \(\square(-7, -16)\) (solution)
- \(\square(2, 11)\) (solution)
Quick Answer
- \((-7, -16)\) and \((2, 11)\) are solutions.
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