SOLUTION: I think I'm getting the hang of it, I used to be terrified of Math, but at the tender age of 48 (smile), I'm making some headway! Could someone please instruct me on how to gr

Question 82928: I think I'm getting the hang of it, I used to be terrified of Math, but at the tender age of 48 (smile), I'm making some headway!
Could someone please instruct me on how to graph the linear equation 6x-7y=8
I can't remember if I asked this already..If so please forgive me!!!
Thank you!!
Found 2 solutions by Nate, jim_thompson5910:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
6x - 7y = 8
The simplest way to graph a linear function would be in y = mx + b form.
Firstly, we must isolate .
6x - 7y = 8
6x - 6x - 7y = 8 - 6x
-7y = -6x + 8
-7y/-7 = -6x/-7 + 8/-7
y = (6/7)x - 8/7
Next, we define and .
y = mx + b
y = (6/7)x - 8/7
m = 6/7 and b = -8/7
Ok, is known as the y-intercept, the point that is on the y-axis.
Place a point on -8/7 on the y-axis ... or at (0,-8/7).
is known as the slope. Positive means up or right and negative means down or left (good reference would be the axies.) The slope once again is 6/7.
The numerator (6) determines up or down. +6 means six units up. The denominator (7) determines left or right. +7 means seven units right. Now, you could also have -6 / -7 ... same way, 6 units down and 7 units left.
~ Proof ~

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)
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