The equation of a line is given as 3 x - 5y = 7. Find its gradient (slope)
A
\(\frac{5}{3}\).
B
\(\frac{3}{5}\).
C
\(\frac{-3}{5}\).
D
\(\frac{-5}{3}\).
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
the form y=mx+c
where m is the gradient and c is the y-intercept.
the equation to gives 5y=3x - 7.
divide both side by 5 the coefficient of y → \(\frac{3}{5}\)x - \(\frac{7}{5}\)
comparing this with the general equation y=mx+c,
you can see that m= the gradient= \(\frac{3}{5}\).
Source: WAEC / JAMB / NECO Classroom Archive (Record #61465)