Question 82928
6x - 7y = 8
The simplest way to graph a linear function would be in y = mx + b form.
Firstly, we must isolate {{{y}}}.
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 {{{m}}} and {{{b}}}.
y = mx + b
y = (6/7)x - 8/7
m = 6/7 and b = -8/7
Ok, {{{b}}} 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).
{{{m}}} 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 ~
{{{graph(300,300,-5,5,-5,5,(6/7)x - 8/7)}}}