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The equation y = 13x is in the form "y = mx + b" (in this case, b is zero). Therefore, the equation is linear.
a) A circle is not the graph of a function. b) A circle is not linear.
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 = ax + b
In most situations, the answer that is looked for is linear. However, since y=mx+b does not follow superposition, it is in fact, nonlinear. Proof: y1=mx1+b y2=mx2+b x3=Ax1+Bx2 y3=m(Ax1+Bx2)+b=mAx1+mAx2+b this does not equal Ay1+By2, making it nonlinear