91Ó°ÊÓ

Describe what the graph of each linear equation will look like in the coordinate plane. (Hint: Rewrite the equation if necessary so that it is in a more recognizable form.) $$ 3 x=9 y $$

Which equations are equivalent to \(2 x-3 y=6 ?\) A. \(y=\frac{2}{3} x-2\) B. \(-2 x+3 y=-6\) C. \(y=-\frac{3}{2} x+3\) D. \(y-2=\frac{2}{3}(x-6)\)

Plot each set of points, and draw a line through them. Then give the equation of the line. $$ (3,5),(3,0), \text { and }(3,-3) $$

For each pair of equations, give the slopes of the lines and then determine whether the two lines are parallel, perpendicular, or neither. See Example \(6 .\) $$ \begin{aligned} 5 x-y &=1 \\ x-5 y &=-10 \end{aligned} $$

A point \((x, y)\) has the property that \(x y<0 .\) In which quadrant(s) must the point lie? Explain.

A point \((x, y)\) has the property that \(x y>0 .\) In which quadrant(s) must the point lie? Explain.

Plot each set of points, and draw a line through them. Then give the equation of the line. $$ (-3,-3),(0,-3), \text { and }(4,-3) $$

Plot each set of points, and draw a line through them. Then give the equation of the line. $$ (-5,5),(0,5), \text { and }(3,5) $$

Write an equation for each line passing through the given pair of points. Give the final answer in \((a)\) slope-intercept form and (b) standard form. See Example 7 . \((8,5)\) and \((9,6)\)

Write an equation for each line passing through the given pair of points. Give the final answer in \((a)\) slope-intercept form and (b) standard form. See Example 7 . \((-4,0)\) and \((0,2)\)