How do you find the slope intercept equation with slope -8 and y intercept (0,9)?

Apr 28, 2018

$\left(y - 9\right) = - 8 x$

Explanation:

The slope intercept form for a linear equation is self-explanatory; all you need is any point on the line and its slope. The general equation for this form is:

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

In this equation, ${y}_{1}$ is equal to the y-coordinate of your given point, ${x}_{1}$ is equal to the x-coordinate of your given point, and $m$ is equal to the slope. Since we have all three of these values, all we need to do is plug them in:

$\left(y - 9\right) = - 8 \left(x - 0\right)$
$\left(y - 9\right) = - 8 x$