Question

Find the equation of a line whose slope is 4 and which passes through the point (3, 7).

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, $$m = 4$$ and $$(x_1, y_1) = (3, 7)$$:

$$y - 7 = 4(x - 3)$$

$$y - 7 = 4x - 12$$

$$4x - y - 5 = 0$$