# Question #ac9e0

Nov 30, 2017

$y = \frac{1}{2} x + 3$

#### Explanation:

$y = m x + b$ is the equation of a line, where m is the gradient and b is where the line intercepts the y-axis.

In this case the gradient is 0.5 or 1/2 so at first the equation looks like:

$y = \frac{1}{2} x + b$

If it goes through the point $\left(- 6 , 0\right)$, we can put these values into the equation instead of x and y. So:

$0 = \left(\frac{1}{2} x - 6\right) + b$ (Substituting x and y for -6 and 0)

$0 = - 3 + b$ (Multiplying -6 by 0.5 = -3)

$3 = b$ (Moving -3 to the other side by adding 3 on both sides)

$b = 3$

Now that we know $b = 3$, putting this into the equation we now see $y = \frac{1}{2} x + 3$, this is the equation of that line.

Hope this helps!