91Ó°ÊÓ

In the following exercises, determine the most convenient method to graph each line.

$x-y=2$

In the following exercises, determine the most convenient method to graph each line.

$y=\frac{2}{2}x+2$

In the following exercises, determine the most convenient method to graph each line.

$y=\frac{3}{4}x-1$

Katherine is a private chef. The equation $C=6.5m+42$models the relation between her weekly cost, C, in dollars and the number of meals, m, that she serves.

(a) Find Katherine's cost for a week when she serves no meals.

(b) Find the cost for a week when she serves 14 meals.

(c) Interpret the slope and C-intercept of the equation.

(d) Graph the equation.

Marjorie teaches piano. The equation $P=35s-250$models the relation between her weekly profit, P, in dollars and the number of student lessons, s, that she teaches.

(a) Find Marjorie's profit for a week when she teaches no student lessons.

(b) Find the profit for a week when she teaches 20 student lessons.

(c) Interpret the slope and P-intercept of the equation.

(d) Graph the equation.

Graph the equation$-x+4y=8$using the intercepts.

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

$4x-3y=-1;y=\frac{4}{3}x-3$

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

$y=5x-1;10x+2y=0$

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

$3x-2y=5;2x+3y=6$

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

$2x-y=8;x-2y=4$