# How do you write an equation in slope intercept form of the line with slope 1/2 that contains the point (-4, -3)?

Oct 10, 2015

We know that this is a straight line, so it will follow the slope intercept equation:

$y = m x + b$.

To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.

$x = - 4$
$y = - 3$
$m = \frac{1}{2}$

Let's start by solving for b:
$b = y - m x$

Now we can plug in numbers:
$b = - 3 - \left(\frac{1}{2} \times - 4\right)$

$b = - 3 - \left(- 2\right)$
$b = - 3 + 2$
$b = - 1$

Now that we know m and b, we can plug into our original equation:

The equation is $y = \frac{1}{2} x - 1$.