What is the slope of the line \(5x-3y+9=0\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\frac{5}{3}\)
When the equation of a line is written as \(y=mx+c\), the coefficient \(m\) of \(x\) is the slope. So the equation is solved for \(y\).
\(5x-3y+9=0\) gives \(3y=5x+9\)
Dividing by 3: \(\displaystyle y=\frac{5}{3}x+3\)
The coefficient of \(x\) is \(\frac{5}{3}\), so the slope is \(\frac{5}{3}\)