Question

Find the gradient and the $$y$$-intercept of the following lines:

$$5x - 10y = 3$$

Answer 1

A linear equation in slope-intercept form is $$y = mx + c$$, where $$m$$ is the gradient (slope) and $$c$$ is the $$y$$-intercept.

$$5x - 10y = 3$$:

$$10y = 5x - 3$$

$$y = \frac{5}{10}x - \frac{3}{10}$$

$$= \frac{1}{2}x - \frac{3}{10}$$

Therefore, gradient $$m = \frac{1}{2}$$ and $$y$$-intercept $$c = -\frac{3}{10}$$.