How do you write an equation of a line with slope 2 and y-intercept 4?

Apr 6, 2018

$y = 2 x + 4$

Explanation:

A linear equation has a standard form of:
$y = m x + c$

Where $m$ is the gradient/slope and $c$ denotes the y-intercept.

So a line which has a slope/gradient of 2 means that $m = 2$, so we replace $m$ with 2. Similarly, as it has a y-intercept of 4, means that $c = 4$, so we replace $c$ with 4 in our standard form-equation.

This yields the equation:

$y = 2 x + 4$