91Ó°ÊÓ

True or False To find the \(y\) -intercepts of the graph of an equation, let \(x=0\) and solve for \(y\) .

Multiple Choice The equation of a circle can be changed from general form to standard from by doing which of the following? (a) completing the squares (b) solving for \(x\) (c) solving for \(y\) (d) squaring both sides

Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. (a) \(A=(-3,2)\) (d) \(D=(6,5)\) (b) \(B=(6,0)\) (e) \(E=(0,-3)\) (c) \(C=(-2,-2)\) (f) \(F=(6,-3)\)

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

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) \(F=(-3,0)\)

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.

Write an equation that relates the quantities. The square of the length of the hypotenuse \(c\) of a right triangle varies jointly with the sum of the squares of the lengths of its legs \(a\) and \(b .\) The constant of proportionality is 1

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. $$ r=4 ;(h, k)=(2,-3) $$

write an equation that relates the quantities. The area \(A\) of a triangle varies jointly with the product of the lengths of the base \(b\) and the height \(h .\) The constant of proportionality is \(\frac{1}{2}\).

write an equation that relates the quantities. The force \(F\) (in newtons) of attraction between two bodies varies jointly with their masses \(m\) and \(M\) (in kilograms) and inversely with the square of the distance \(d\) (in meters) between them. The constant of proportionality is \(G=6.67 \times 10^{-11}\)