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.

\(\frac{-5}{3}\).

Correct answer is B

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= \(\frac{3}{5}\).