Question:
If the slope of the line joining the points \((3,4)\) and \((-2,a)\) is equal to \(-\frac{2}{5}\), then the value of \(a\) is:
If the slope of the line joining the points \((3,4)\) and \((-2,a)\) is equal to \(-\frac{2}{5}\), then the value of \(a\) is:
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Be careful with signs in denominator.
Updated On: Apr 30, 2026
- \(0 \)
- \(2 \)
- \(3 \)
- \(4 \)
- \(6 \)
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The Correct Option is
Solution and Explanation
Concept:
Slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Step 1: Apply slope formula.
\[ \frac{a - 4}{-2 - 3} = -\frac{2}{5} \] \[ \frac{a - 4}{-5} = -\frac{2}{5} \]
Step 2: Solve.
\[ a - 4 = 2 \Rightarrow a = 6 \]
Step 1: Apply slope formula.
\[ \frac{a - 4}{-2 - 3} = -\frac{2}{5} \] \[ \frac{a - 4}{-5} = -\frac{2}{5} \]
Step 2: Solve.
\[ a - 4 = 2 \Rightarrow a = 6 \]
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