Comparing Slope and Intercepts

How many solutions does this system have?

Solve by graphing and/or comparing slopes and y-intercepts.

3y = -2x + 10

3y = -2x − 1

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have? Solve by graphing and/or comparing slopes and y-intercepts. 2y = 16x – 2 y = 8x + 2

• One solution

• No solutions

• Infinitely many solutions

Parallel Lines never intersect because...

• they have the same slopes. 

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts. 

A system of equations has infinite solutions because...

• the equations have the same slopes and different y-intercepts

• the equations have the same y-intercepts and slopes.

• the equations have different y-intercepts and slopes.

Which two lines show a system with no solution?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue

If a system of equations has no solution, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.

• They have the same slopes and different y-intercepts.

• They have the same slopes and the same y-intercepts.

• They have different slopes and the same y-intercepts.

Who is losing weight at a faster rate?

(a)   is losing weight faster because ​losing (b)   pounds per week is more than losing ​ (c)   pounds per week.

• Valerie

• 2.5

• 2

• Oscar

• 235

• 247

• 4

• 232.5

Function A is represented by the given equation, and Function B is represented by the given table of values. Which statement is true about functions A and B?

• They have the same rate of change.

• Function A has a greater rate of change than Function B.

• Functions A and B both have negative rates of change.

• Function A has a negative rate of change, and Function B has a positive rate of change.

Which of the following statements is true about the functions f(x) and g(x), shown in the table and graph below?

• The function f(x) has a greater y intercept than the function g(x)

• The function g(x) has a greater rate of change than the function f(x)

• The function g(x) has a greater y intercept than the function f(x)

• The rate of change for both g(x) and f(x) are equal