The equation of a line is given as $3x - 5y = 7$. We need to find its gradient (slope).

1. Problem Description

The equation of a line is given as $3x - 5y = 7$. We need to find its gradient (slope).

2. Solution Steps

We need to rewrite the given equation in the slope-intercept form, which is $y = mx + c$, where $m$ is the slope (gradient) and $c$ is the y-intercept.

Given equation: $3x - 5y = 7$

Subtract $3x$ from both sides:

$-5y = -3x + 7$

Divide both sides by $-5$:

$y = \frac{-3x}{-5} + \frac{7}{-5}$

$y = \frac{3}{5}x - \frac{7}{5}$

Comparing this with the slope-intercept form $y = mx + c$, we can see that the slope $m = \frac{3}{5}$.

3. Final Answer

The gradient (slope) of the line is $\frac{3}{5}$.

The answer is B.