If the equation of a line is 2x + 3y = 6, what is the slope of the line?
If the equation of a line is 2x + 3y = 6, what is the slope of the line?
“यदि किसी रेखा का समीकरण 2x + 3y = 6 है, तो उस रेखा का ढाल कितना होगा?”
Detailed Solution & Logic
Correct Answer:
-2/3
The given equation of the line is $2x + 3y = 6$.
Step 1: Solve for $y$ in terms of $x$:
$3y = -2x + 6$
$y = -\frac{2}{3}x + 2$
Step 2: Identify the slope:
From the equation $y = -\frac{2}{3}x + 2$, the slope of the line is $-\frac{2}{3}$.
Answer: The slope is $-\frac{2}{3}$.
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