91Ó°ÊÓ

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (2,1), m=\frac{5}{2} $$

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.) $$ x+4=3 $$

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.) $$ 3 y=-6 $$

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

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (-2,5), m=\frac{2}{3} $$

Fill in each blank with the word positive or the word negative. The point with coordinates \((x, y)\) is in quadrant II 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.) $$ 5 y=-15 $$

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (4,2), m=-\frac{1}{3} $$

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. $$ \begin{aligned} &5 x-3 y=-2\\\ &3 x-5 y=-8 \end{aligned} $$

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (6,-3), m=-\frac{4}{5} $$