# A line has a slope of 4 and lies on the point (2, 4). What is the equation of that line in slope-intercept form?

Nov 1, 2016

$y = 4 x - 4$

#### Explanation:

You are given the slope, $m$ and a point, $\left(x , y\right)$. Substitute these values into the following formula:

y-y_1 = m(x-x_1)" larr m = 4 and (2,4)

$y - 4 = 4 \left(x - 2\right) \text{ } \leftarrow$ multiply out and re-arrange

$y \text{ } = 4 x - 8 + 4$

$\text{ } y = 4 x - 4$