Question

Question #ac9e0

Answer 1

`y = 1/2x + 3`

Explanation:

`y = mx + 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 = 1/2x + b`

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

`0 = (1/2 x -6) + 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 = 1/2x + 3`, this is the equation of that line.

Hope this helps!