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

The correct answer is B. \(\frac{3}{5}\).

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 â†’ \(\frac{3}{5}\)x - \(\frac{7}{5}\) 

comparing this with the general equation y=mx+c,

you can see that m= the gradient= \(\frac{3}{5}\).

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