Yes. A fraction is still a number after all.
Application: say you have y=(1/2)x+6, the slope is 1/2 so you start at 6 on the y-axis and go up one and over 2 and you have your next point (x=1). It's the same thing as saying the value of x is being divided by 2. If you can multiply x by a number, why can't you divide?
a more complex one would be y=(3/4)x+9 in which case, you're both multiplying and dividing. You're multiplying x by 3 and dividing that by 4.
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An equation is linear when it contains only variables of degree 1 and constants. ALL linear equations will be of the form: a1x1+a2x2+a3x3+...+anxn=c where an and c are constants.
A linear equation, when graphed, is always a line. A quadratic is a curve. Also, linear equations are of the form y=mx+b where m and b are arbitrary constants and quadratics are y=(x^2) +mx +b where m and b are arbitrary constants.
y = 5x3 + 6 is a cubic equation, not a linear equation. Linear equations contain only terms of degree 0 (i.e. constants) and terms of degree 1.
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
The method is the same.