Tell whether the graphs of the two equations are parallel lines. $y=-0.6 x+2,5 y+3 x=8$

Admission to a home and garden show costs $\$ 7$ per person during the week and $\$ 9$ per person on the weekend. During one week of the show, a total of $\$ 142,506$ was paid in admissions. This situation can be represented by the equation $7 x+9 y=142,506$ where $x$ is the number of tickets sold during the week and $y$ is the number of tickets sold on the weekend.

a. Find the intercepts of the graph of the equation. Graph the equation.

b. Give three possibilities for the number of each kind of ticket that could have been sold for the week.

Tell whether the graphs of the two equations are parallel lines. $2 x+y=5, y=0.5 x-3$

Graph the function. Compare your graph to the graph of $f(x)=x$.

$$m(x)=8 x$$

Find the value of x or y so that the line passing through the two points has the given slope. $(-1,4),(x, 3) ; m=\frac{1}{5}$

Given that y varies directly with x, use the specified values to write a direct variation equation that relates x and y. $x=5, y=-30$

Graph the function. Compare your graph to the graph of $f(x)=x$.

$$m(x)=5 x$$

Tell whether the graphs of the two equations are parallel lines. $2 x+y=5,-6+2 x=y$

Find the value of x or y so that the line passing through the two points has the given slope. $(-3, y),(-9,-2) ; m=1$

The bottom of a rabbit cage is a rectangle with a perimeter of 118 inches. Let $x$ be the cage's width (in inches) and let $y$ be its length (in inches).

a. Write an equation for the perimeter.

b. Find the intercepts of the graph of the equation you wrote. Then graph the equation.

Given that y varies directly with x, use the specified values to write a direct variation equation that relates x and y. $x=28, y=-4$

Find the slope of the line that passes through the points. $(-5,-4) \text { and }(1,-2)$

Tell whether the graphs of the two equations are parallel lines. $y=8 x-3,8 x+y=3$

Match the equation with its intercepts.

A. $x$-intercept: 4

$y$-intercept: -7

B. $x$-intercept: -4

$y$-intercept; 7

C. $x$-intercept: 7

$y$-intercept: 4

$$4 y=7 x+28$$