That is not a valid equation because the linear expression is not a polynomial. You can't have a variable in the denominator.
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The equation y=6x+1 is in "slope intercept" form. This form is y=mx+b and b is the y intercept and m is the slope. This means we can read the slope and the intercept directly from the equation with no calculations. The slope is 6 and the y intercept is 1 ( or the point (0,1) is you prefer)
6x+8y = 12 8y = -6x+12 Divide all terms by 8:- y = -0.75x+1.5 which is now in slope intercept form
y=6x+12
Slope = -6/5 = -1.2 y-intercept = -3
The slope-intercept form of the equation of a line is y = mx + b, wher m = slope and b = y-intercept.2 - 3y + 6x = 0 just solve for y2 - 2 - 3y + 6x - 6x = 0 - 6x - 2-3y = - 6x - 2-3y/-3 = - 6x/-3 - 2/-3y = 2x + 2/3