Question #ac9e0

1 Answer
Nov 30, 2017

#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!