You can put this solution on YOUR website! Find the linear equation that passes through (-5,-3) and (0,12)
The first step is to find the change in y over the change in x.
= which just equals 3.
3 is our slope so we plug that into the slope-intercept formula and we get y=3x+b
Now we need to find b.
We pick either point (it doesn't really matter) but just by looking at the point I can tell that (0,12) will give a quick answer. So now our formula looks like 12= 3(0) +b which simplifies to 12= b
So our final answer is y=3x+12
Just to double check that we have the right answer, you can just plot the line and check to make sure that both points are on the graph.
http://www.algebra.com/cgi-bin/display-illustration.mpl?tutor=Lapric&illustration_name=Capture.JPG&size=thumbnail
http://www.algebra.com/cgi-bin/display-illustration.mpl?tutor=Lapric&illustration_name=Capture2.JPG&size=thumbnail
And we can see that both points are on the line so we have the right equation.
