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Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.5: The Distance And Midpoint Formulas
Problem 2C
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Question
**Title: Identifying Points on a Line Equation** **Question:** Two points that lie on the line \(5x - 3y = 15\) are \((3, 0)\). **Options:** - ( ) \((5, -3)\) - ( ) \((5, 3)\) - ( ) \((0, 5)\) - ( ) \((0, -5)\) **Explanation:** To determine which points lie on the given line, we substitute the coordinates of each point into the equation \(5x - 3y = 15\) and check if the equation holds true: 1. **For \((5, -3)\):** \[ 5(5) - 3(-3) = 25 + 9 = 34 \neq 15 \] This point does not lie on the line. 2. **For \((5, 3)\):** \[ 5(5) - 3(3) = 25 - 9 = 16 \neq 15 \] This point does not lie on the line. 3. **For \((0, 5)\):** \[ 5(0) - 3(5) = 0 - 15 = -15 \neq 15 \] This point does not lie on the line. 4. **For \((0, -5)\):** \[ 5(0) - 3(-5) = 0 + 15 = 15 \] This point lies on the line. Therefore, the correct point from the options provided that lies on the line \(5x - 3y = 15\) alongside \((3, 0)\) is \((0, -5)\).
Transcribed Image Text:**Title: Identifying Points on a Line Equation** **Question:** Two points that lie on the line \(5x - 3y = 15\) are \((3, 0)\). **Options:** - ( ) \((5, -3)\) - ( ) \((5, 3)\) - ( ) \((0, 5)\) - ( ) \((0, -5)\) **Explanation:** To determine which points lie on the given line, we substitute the coordinates of each point into the equation \(5x - 3y = 15\) and check if the equation holds true: 1. **For \((5, -3)\):** \[ 5(5) - 3(-3) = 25 + 9 = 34 \neq 15 \] This point does not lie on the line. 2. **For \((5, 3)\):** \[ 5(5) - 3(3) = 25 - 9 = 16 \neq 15 \] This point does not lie on the line. 3. **For \((0, 5)\):** \[ 5(0) - 3(5) = 0 - 15 = -15 \neq 15 \] This point does not lie on the line. 4. **For \((0, -5)\):** \[ 5(0) - 3(-5) = 0 + 15 = 15 \] This point lies on the line. Therefore, the correct point from the options provided that lies on the line \(5x - 3y = 15\) alongside \((3, 0)\) is \((0, -5)\).
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