SOLUTION: Could I please have help in graphing...Thank you! How do I graph this linear equation: 6x-7y=8

Algebra ->  Linear-equations -> SOLUTION: Could I please have help in graphing...Thank you! How do I graph this linear equation: 6x-7y=8      Log On


   

Question 82925: Could I please have help in graphing...Thank you!
How do I graph this linear equation: 6x-7y=8
Found 3 solutions by jim_thompson5910, stanbon, chitra:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x-7y=8 Start with the given equation

-7y=8-6x Subtract 6x from both sides

y=%288-6x%29%2F-7 Divide both sides by -7

y=%286%2F7%29x-8%2F7 Break up the fraction and rearrange the terms so the x term is first. Now it is in y=mx%2Bb form where m=6%2F7 and b=-8%2F7. So to graph this line, lets plug in point x=-8

Let x=-8
y=%286%2F7%29%28-8%29-8%2F7 Plug in x=-8

y=-48%2F7-8%2F7 Multiply

y=-56%2F7 Combine the fractions

y=-8 Reduce
So we have a point (-8,-8)
Here is the point (-8,-8) plotted on a coordinate system

Let x=6
y=%286%2F7%29%286%29-8%2F7 Plug in x=6

y=36%2F7-8%2F7 Multiply

y=28%2F7 Combine the fractions

y=4 Reduce
So we have a point (6,4). Add this to our graph
Here are the points (6,4) and (-8,-8) plotted on a coordinate system
Now draw a straight line through these points

Graph of y=%286%2F7%29x-8%2F7 with the points (6,4) and (-8,-8)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
graph this linear equation: 6x-7y=8
--------------
Let x=0, then y=(-8/7), giving you point (0,-8/7)
Let y=0, then x=(4/3), giving you point (4/3,0)
-------------
Plot these two points and draw a line thru them.
That is your graph.
graph%28400%2C300%2C-5%2C5%2C-5%2C5%2C%286%2F7%29x-%288%2F7%29%29
============================
cheers,
Stan H.





Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
This is a linear equation since the degree of both x and y are one.

Hence, the graphing of a linear equation is always a straight line.. So hence, we shall write the given equation either in terms of x or y.

Thus, the given equation 6x - 7y = 8 becomes,


7y = 6x - 8 OR


y = (6/7)x - (8/7)


Hence, the graph looks like this:


+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%286%2F7%29x-%288%2F7%29%29+


Regards,