Question : If $ax–4y = – 6$ has a slope of $-\frac{3}{2}$, what is the value of $a$?
Option 1: 6
Option 2: 3
Option 3: – 6
Option 4: – 3
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Correct Answer: – 6
Solution :
Given: The straight line is $ax–4y = –6$ has a slope of $\frac{–3}{2}$.
The slope of the straight line $(ax + by + c = 0)$ using the slope formula, $\text{slope}=\frac{–a}{b}$
$\frac{–a}{–4}=\frac{–3}{2}$
⇒ $a = – 6$
Hence, the correct answer is – 6.
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