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

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)   (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 6x from both sides

Divide both sides by -7

Break up the fraction and rearrange the terms so the x term is first. Now it is in form where and . So to graph this line, lets plug in point x=-8

Let x=-8
Plug in x=-8

Multiply

Combine the fractions

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

Let x=6
Plug in x=6

Multiply

Combine the fractions

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 with the points (6,4) and (-8,-8)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
graph this linear equation: 6x-7y=8
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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)
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Plot these two points and draw a line thru them.
That is your graph.

============================
cheers,
Stan H.

Answer by chitra(359)   (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:

Regards,

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