SOLUTION: 4x - 5y=4

Algebra ->  College  -> Linear Algebra -> SOLUTION: 4x - 5y=4      Log On


   

Question 144016: 4x - 5y=4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to graph?




4x-5y=4 Start with the given equation


-5y=4-4x Subtract 4+x from both sides


-5y=-4x%2B4 Rearrange the equation


y=%28-4x%2B4%29%2F%28-5%29 Divide both sides by -5


y=%28-4%2F-5%29x%2B%284%29%2F%28-5%29 Break up the fraction


y=%284%2F5%29x-4%2F5 Reduce




Looking at y=%284%2F5%29x-4%2F5 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=4%2F5 and the y-intercept is b=-4%2F5


Since b=-4%2F5 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 4%2F5, this means:

rise%2Frun=4%2F5


which shows us that the rise is 4 and the run is 5. This means that to go from point to point, we can go up 4 and over 5



So starting at , go up 4 units


and to the right 5 units to get to the next point



Now draw a line through these points to graph y=%284%2F5%29x-4%2F5

So this is the graph of y=%284%2F5%29x-4%2F5 through the points and