SOLUTION: using slope-intercept form for graphing, graph each line using its y-intercept and slopt for: 4x + 3y =9 thank you very much.

Algebra ->  Linear-equations -> SOLUTION: using slope-intercept form for graphing, graph each line using its y-intercept and slopt for: 4x + 3y =9 thank you very much.      Log On


   

Question 341666: using slope-intercept form for graphing, graph each line using its y-intercept and slopt for:
4x + 3y =9


thank you very much.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x%2B3y=9 Start with the given equation.


3y=9-4x Subtract 4x from both sides.


3y=-4x%2B9 Rearrange the terms.


y=%28-4x%2B9%29%2F%283%29 Divide both sides by 3 to isolate y.


y=%28%28-4%29%2F%283%29%29x%2B%289%29%2F%283%29 Break up the fraction.


y=-%284%2F3%29x%2B3 Reduce.


Looking at y=-%284%2F3%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-4%2F3 and the y-intercept is b=3


Since b=3 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%2F3, this means:

rise%2Frun=-4%2F3


which shows us that the rise is -4 and the run is 3. This means that to go from point to point, we can go down 4 and over 3



So starting at , go down 4 units


and to the right 3 units to get to the next point



Now draw a line through these points to graph y=-%284%2F3%29x%2B3

So this is the graph of y=-%284%2F3%29x%2B3 through the points and


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim