# How do you write the equation of a line which has a y-intercept of 24 and a rate of change of 15?

Apr 5, 2017

$y = 15 x + 24$

#### Explanation:

$y = m x + b$ is the equation of a line in the y intercept form.

$b \to {y}_{\text{intercept}}$

m = the slope or the rate of increase. ( think mountain slope)

in this case b = 24 $\to {y}_{\text{intercept}}$

$\text{ }$m = 15 the rate of increase for y for a change of 1 in $x$

so $y = 15 x + 24$