Question

Find the equation of a line whose slope is – 3 and which passes through the point (–2, 3).

Answer 1

The equation of a line with slope $$m$$ passing through a point $$(x_1, y_1)$$ is given by: $$y - y_1 = m(x - x_1)$$

Here, $$m = -3$$ and $$(x_1, y_1) = (-2, 3)$$:

$$y - 3 = -3(x - (-2))$$

$$y - 3 = -3(x + 2)$$

$$y - 3 = -3x - 6$$

$$3x + y + 3 = 0$$