4.1 - 4.2 Quiz

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through: (-5, 2), slope =  $-\frac{1}{5}$  

•  $y=-\frac{1}{5}x+2$  

•  $y=-\frac{1}{5}x-5$  

•  $y=-\frac{1}{5}x-\frac{23}{5}$  

•  $y=-\frac{1}{5}x+1$  

Write the slope-intercept form of the equation of the line through the given points.

through: (3, -4) and (0, -3)

• $y=-\frac{7}{3}x-3$

• $y=\frac{7}{3}x-4$

• $y=-\frac{1}{3}x-3$

• $y=-\frac{1}{3}x-4$

Write an equation in slope intercept form with the given information.

Tickets to a concert cost $12 each plus a processing fee of $4. 

•  $y=12x+4$  

•  $y=4x+12$  

•  $y=12x-4$  

•  $y=4x-12$  

Write an equation in slope intercept form with the given information.

The freshman class has $225. They sell raffle tickets at $2 per ticket.

•  $y=225x-2$  

•  $y=225x+2$  

•  $y=2x-225$  

•  $y=2x+225$  

Steve is driving a remote control car at a constant speed. He starts the timer when the car is 5 feet away. After 2 seconds the car is 35 feet away.

a.) Write an equation in slope intercept form to find the distance d of the car from Steve.

b.) Estimate the distance the car has traveled after 10 seconds.

• $d=15t+5;\ 150\ ft$

• $d=15t+5;\ \ 155ft$

• $d=17t+5;\ 270\ ft$

• $d=17t+35;\ 205ft$

Write the point-slope form of the equation of the line through the given point with the given slope.

through: (2, 2), slope =  $\frac{1}{4}$  

•  $y-2=\frac{1}{4}\left(x+2\right)$  

•  $y+2=\frac{1}{4}\left(x-2\right)$  

•  $y-2=\frac{1}{4}\left(x-2\right)$  

•  $y+2=\frac{1}{4}\left(x+2\right)$  

Write the point-slope form of the equation of the line through the given point with the given slope.

through: (-3, -4), slope =  $\frac{1}{3}$  

•  $y+4=\frac{1}{3}\left(x+3\right)$  

•  $y-4=\frac{1}{3}\left(x-3\right)$  

•  $y+3=\frac{1}{3}\left(x+4\right)$  

•  $y-3=\frac{1}{3}\left(x-4\right)$  

Write an equation in point-slope form

line through points (4, -6) and (1, 3)

• $y-3=1\left(x-1\right)$

• $y-3=-3\left(x-1\right)$

• $y-6=-3\left(x+4\right)$

• $y+6=1\left(x-4\right)$

Write an equation in Standard Form

line through points (4, -6) and (1, 3)

• $x-y=-2$

• $3x+y=-6$

• $x-y=10$

• $3x+y=6$

A rental company charges $50 per hour to rent a paddle boat and $75 per hour to rent a pontoon boat.

a.) Write an equation in standard form that models the number of hours you could rent a paddle boat or pontoon boat if you have $600.

b.) If you rent a paddle boat for 6 hours, for how many hours could you rent a pontoon boat?

• $50x+75y=600;\ 4\ hours$

• $50x+75y=600;\ 6\ hours$

• $600x+75y=50;\ \ 3\ hours$

• $y=50x+75;\ 60\ hours$