Question

a particle is traveling on the curve x^2-xy+y^2=7. at the moment when the particle is at point (2,3) the x-coordinate is increasing at the rate of 5 units/min. what is the y-coordinate of the particle doing??

Answer 1

Problem

Graph the line that represents a proportional relationship between

\[y\] and

\[x\] where the unit rate of change of

\[y\] with respect to

\[x\] is

\[\dfrac{5}{3}\] . In other words, a change of

\[1\] unit in

\[x\] corresponds to a change of

\[\dfrac{5}{3}\] units in

\[y\].

Graph the line and write the equation of the line.