91Ó°ÊÓ

Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. (a) \(A=(1,4)\) (d) \(D=(4,1)\) (b) \(B=(-3,-4)\) (e) \(E=(0,1)\) (c) \(C=(-3,4)\) (f) \(F=(-3,0)\)

Write the standard form of the equation and the general form of the equation of each circle of radius \(r\) and center \((h, k)\). Graph each circle. $$ r=3 ;(h, k)=(1,0) $$

In Problems 17-24, plot each pair of points and determine the slope of the line containing the points. Graph the line. $$ (2,3) ;(4,0) $$

write a general formula to describe each variation. The cube of \(z\) varies directly with the sum of the squares of \(x\) and \(y, \quad z=2\) when \(x=9\) and \(y=4\)

Determine which of the given points are on the graph of the equation. $$ \begin{array}{l} \text { Equation: } x^{2}+y^{2}=4 \\ \text { Points: }(0,2) ;(-2,2) ;(\sqrt{2}, \sqrt{2}) \end{array} $$

Write the standard form of the equation and the general form of the equation of each circle of radius \(r\) and center \((h, k)\). Graph each circle. $$ r=5 ;(h, k)=(4,-3) $$

Write an equation that relates the quantities. The volume \(V\) of a sphere varies directly with the cube of its radius \(r .\) The constant of proportionality is \(\frac{4 \pi}{3}\)

Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. Plot the points \((2,0),(2,-3),(2,4),(2,1),\) and \((2,-1) .\) Describe the set of all points of the form \((2, y),\) where \(y\) is a real number.

Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. Plot the points \((0,3),(1,3),(-2,3),(5,3),\) and \((-4,3) .\) Describe the set of all points of the form \((x, 3),\) where \(x\) is a real number.

Plot each pair of points and determine the slope of the line containing the points. Graph the line. $$ (2,3) ;(4,0) $$