What is the slope of the line \(2x-5y+7=0\)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{2}{5}\)
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 \(y\).
\(2x-5y+7=0\) gives \(5y=2x+7\)
Dividing by 5: \(\displaystyle y=\frac{2}{5}x+\frac{7}{5}\)
The coefficient of \(x\) is \(\frac{2}{5}\), so the slope is \(\frac{2}{5}\)