91Ó°ÊÓ

Graph: f(x) = −4x − 5

Graph the line of equation y= 3x-1 using its slope and y-intercept.

Graph the line of equation $y=2x-3$using its slope and y-intercept.

Graph the line of equation $y=-\frac{3}{5}x+2$using its slope and y-intercept.

The equation $P=31+1.75w$models the relation between the amount of Tuyet's monthly water bill payment, P, in dollars, and the number of units of water, w, used.

(a) Find Tuyet's payment for a month when 0 units of water are used.

(b) Find Tuyet's payment for a month when 12 units of water are used.

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

(d) Graph the equation.

Janelle is planning to rent a car while on vacation. The equation $C=0.32m+15$models the relation between the cost in dollars, C, per day and the number of miles, m , she drives in one day.

(a) Find the cost if Janelle drives the car 0 miles one day.

(b) Find the cost if Janelle drives the car 400 miles one day.

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

(d) Graph the equation.

Patel's weekly salary includes a base pay plus commission on his sales. The equation $S=750+0.09c$models the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars.

(a) Find Patel's salary for a week when his sales were 0.

(b) Find Patel's salary for a week when his sales were 18,540.

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

(d) Graph the equation.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Explain in your own words why the slopes of two perpendicular lines must have opposite signs.