IM Unit 2 Lesson 11

What is the slope of the graph of   $5x-2y=20$   ?
 

•  $\frac{2}{5}$  

•  $\frac{5}{2}$  

•  $-\frac{2}{5}$  

•  $-\frac{5}{2}$  

 $y=6x+2$  

What is the y-intercept of the equation?

• (2,0)

• (0,2)

• 6

•  $\frac{1}{6}$  

 $10x+5y=30$  
What is the y-intercept of the equation?

• (0,3)

• (3,0)

• (0,6)

• (6,0)

 $y-6=2\left(3x-4\right)$  
What's the y-intercept of the equation?

• (0,2)

• (2,0)

• (-2,0)

• (0,-2)

 $10x+4y=20$  

Han wanted to find the intercepts of the graph of the equation . He decided to put the equation in slope-intercept form first. His work is pictured above. 

He concluded that the x-intercept is  $\left(\frac{1}{2},0\right)$   and the y-intercept is (0,5).

What error did Han make?

• He should of added the 10x to both sides instead of subtracting in step 1.

• He should have divided BOTH terms on the right side by 4 in step 2.

• He should have multiplied everything by 4 instead of dividing in step 2.

• There is no mistake.

 $10x+4y=20$  

What are the x and y-intercepts of the line?
 
 

• (0, 5) and (2,0)

• (0,2) and (5,0)

• (0,3) and (2, 0)

• There are no intercepts.

Choose all of the equations that represent the graph pictured above.

•  $12=3x+4y$  

•  $3x-4y=12$  

•  $y=-\frac{3}{4}x+3$  

•  $y=\frac{3}{4}x-3$  

Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25.

Which options below could represent how many nickels and dimes Priya has in her pocket?

• 10 dimes and 5 nickels

• 12 dimes and 1 nickel

• 2 dimes and 21 nickels

• 5 dimes and 15 nickels

Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25.

Write an equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket.

• $10d+5n=1.25$

• $0.10d+0.05n=1.25$

• $0.10n+0.05d=1.25$

Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25.

If solutions are written as points in the order (dimes, nickels), is the point (13,6) a solution?

• Yes, the point (13,6) is a solution.

• No, the point (13,6) is not a solution.