Question 6

Explanation

Let's analyze each statement for the line $5x - 10y = 3$.

Statement 1: Gradient

The equation of a line in the form $ax + by = c$ has a gradient $m = -\frac{a}{b}$. For $5x - 10y = 3$:

• $a = 5$
• $b = -10$

Statement 1 says the gradient is $-2$. So, Statement 1 is false.

Statement 2: X-axis intercept

The x-axis intercept occurs when $y = 0$.

The coordinate point is $\left(\frac{3}{5}, 0\right)$. So, Statement 2 is true.

Statement 3 and 4: Y-axis intercept

The y-axis intercept occurs when $x = 0$.

The coordinate point is $\left(0, -\frac{3}{10}\right)$. So, Statement 3 is false and Statement 4 is true.

Conclusion: The correct statements are (2) and (4).