91Ó°ÊÓ

Fill in each blank with the word positive or the word negative. The point with coordinates \((x, y)\) is in quadrant IV if \(x\) is _____ and \(y\) is _____.

Concept Check In Exercises \(55-62,\) 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.) $$ 2 x=4 y $$

Fill in each blank with the word positive or the word negative. The point with coordinates \((x, y)\) is in quadrant I if \(x\) is _____ and \(y\) is _____.

Concept Check In Exercises \(55-62,\) 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.) $$ 3 x=9 y $$

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (7,-2), m=-\frac{7}{2} $$

Which equations are equivalent to \(2 x-3 y=6 ?\) $$ \begin{array}{ll}{\text { A. } y=\frac{2}{3} x-2} & {\text { B. }-2 x+3 y=-6} \\\ {\text { C. } y=-\frac{3}{2} x+3} & {\text { D. } y-2=\frac{2}{3}(x-6)}\end{array} $$

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

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

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

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. $$ (4,10) \text { and }(6,12) $$