My assumption without more information is that you need to put the equaton into a different form

6x= 7 - 4y --> this is the equation of a line

There are multiple forms such an equation can take

the most recognizable is the 'slope intercept' form which is y = ax + b with b being the intercept

meaning that the line goes through point (0,b)

So if you take your equation 6x= 7 - 4y and get y 'positive, by itself, on one side of the equation'

6x = 7 - 4y ===> add 7 to BOTH sides of the equation

+7 +7

6x + 7 = -4y ===> divice BOTH sides by -4

-(6/4)x - 7/4 = y

change irregular fractions to mized numbers

-1.5x - 1.75 = y ... SLOPE INTERCEPT FORM this tells you that the line goes through (0, -1.75)

AND the slope of the line is -1.5 or -6/4 ...

Standard form of 6x= 7 - 4y

6x = 7 - 4y ==> ADD 4y to BOTH sides of the equation

+4y +4y

6x + 4y = 7 (this fits the Standard Form Ax + By = C)

The equation of a line can be shown in

Standard Form ==> Ax + By = C

Slope Intercept Form ==> y = mx + b

Poit-Slope Form ==> (y - y1) = m(x - x1)

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