Question

Reduce the equation 3x − 2y + 6 = 0 to the intercept form and find the x and y intercepts.

Answer 1

The given equation is 3x − 2y + 6 = 0

\[3x - 2y = - 6\]

\[ \Rightarrow \frac{3}{- 6}x + \frac{2y}{6} = 1 \left[ \text { Dividing both sides by }- 6 \right]\]

\[ \Rightarrow \frac{x}{- 2} + \frac{y}{3} = 1\]

This is the intercept form of the given line.
∴ x-intercept = −2 and y-intercept = 3