Math Problem Statement
The point (a, 2) lies on the line whose equation is 2x + y + 4 = 0. What is the value of a?
Solution
We are given the equation of a line:
The point lies on this line, and we need to find the value of .
Step-by-Step Solution:
- Substitute the coordinates of the point into the equation of the line. Here, and .
- Simplify the equation:
- Solve for :
Thus, the value of is , which corresponds to option (B).
Would you like more details or explanations?
Here are 5 related questions to extend your understanding:
- What is the general form of a linear equation in two variables?
- How can we determine the slope of the line from the equation ?
- If the point lies on a line, how do you check if the equation is satisfied?
- What is the y-intercept of the line ?
- How do you find the distance between a point and a line?
Tip: When solving for a variable, always substitute known values first to simplify the equation.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
General form of linear equation: Ax + By + C = 0
Theorems
Substitution Method
Suitable Grade Level
Grades 7-9