# A line passes through the y-axis at a y-value of -8. For every 4 units up, the line moves 5 units to the right. Graph the equation described. What is the y-intercept?

Dec 5, 2016

$y = - 8 + \frac{4}{5} x$

#### Explanation:

We can write the equation of this line in slope-intercept form, considering that the slope is:

$\frac{\Delta y}{\Delta x} = \frac{4}{5}$

and the intercept is ${y}_{0} = - 8$

So:

$y = - 8 + \frac{4}{5} x$

The $y$-intercept is given by:

$0 = - 8 + \frac{4}{5} {x}_{0}$

${x}_{0} = 10$ graph{-8+4/5x [-16, 24.04, -13.68, 6.32]}