Unit 3 Review Quizizz - Linear Functions

Unit 3 Review Quizizz - Linear Functions

Slope formula from a table

•  $\frac{y_2-y_1}{x_2-x_1}$  

• Choose ANY two points from the table to find the slope

Fill in the Blank

Calculate the slope of the table. Write your answer as a simplified fraction.

Fill in the Blank

Calculate the slope of g(x). Write your answer as a simplified fraction.

Comparing the steepness of slopes

• A steeper slope will always be the "bigger" slope (positive & negative do not matter)

Multiple Choice

Which of the following lines has the steepest slope?

• $g\left(x\right)=-\frac{1}{3}x-4$

• $f\left(x\right)=2x-10$

• $h\left(x\right)=-5x+1$

• $q\left(x\right)=-x+23$

Graphing lines in slope-intercept form

•  $y=mx+b$  

• b is your y intercept

• m is your slope

Multiple Choice

Which of the following graphs matches the equation

 $y=2x+2$  ?

Finding slope of a line

• Negative slopes point up to the left

• Positive slopes point up to the right

•  $\frac{rise}{run}$  

Fill in the Blank

Find the slope of this line. Write your answer as a simplified fraction

x & y intercepts of a line

• To find the y intercept: plug in zero for x and solve for y

• To find the x intercept: plug in zero for y and solve for x

Multiple Choice

What is the y intercept of this line?

 $-2x+4y=-16$  

• (0, -4)

• (0, 8)

• (0, 4)

• (0, -8)

Multiple Choice

What is the x intercept of this line?

 $-3x\ -y=15$  

• (-5, 0)

• (-15, 0)

• (5, 0)

• (-3, 0)

Finding slope between 2 points

•  $\frac{y_2-y_1}{x_2-x_1}$  

• Label your points

• If you are given letters, plug them into the formula but don't evaluate

Multiple Choice

Find the slope of the line:

• 5/1

• -5/1

• -2/5

• 10/1

Fill in the Blank

Write the slope of the line. Use "/" for the fraction bar. DO NOT use spaces.

Point-Slope Form

•  $y-y_1=m\left(x-x_1\right)$  

• If you are given 2 points, first find the slope. Then, choose ONE  of the points to plug into the formula

• Evaluate the formula to put your equation in the form y=mx+b

Fill in the Blank

Write the equation of a line (in the form y=mx+b) that pass through the points (-4, 5) and (0, 5). Do not use spaces

Fill in the Blank

Write the equation of a line (y=mx+b) that passes through the points (1, 7) & (-2, 1) Do not use spaces.

Weird lines

• Vertical lines (up and down): have an undefined slope and start with x=, do not have a y

• Horizontal lines (side to side): have a zero slope and start with y=; do not have an x

Multiple Choice

What is the coordinate where the line with a zero slope intersects the purple line?

• (3, 3)

• (1, 1)

• (0,0)

• (0, 3)

Multiple Choice

What are the coordinates where the line with an undefined slope crosses the purple line?

• (3, 3)

• (1, 1)

• (0, 0)

• (1, 0)

Shifting lines

• When we shift lines, we will only move them up or down which means only the y intercept will change

• k is the value that shows the change in the y intercept (how many it moved up or down)

Multiple Choice

The graph f(x)=x-2 is shifted up five units to make the line g(x). If g(x) = f(x) + k, what is the value of k?

• 5

• -5

• -2

• 3

Multiple Choice

The graph f(x)=x-2 is shifted up five units to make the line g(x). What is the equation for g(x)?

• $g\left(x\right)=x+3$

• $g\left(x\right)\ =\ x+5$

• $g\left(x\right)=x+7$

• $g\left(x\right)=x-7$

Word Problems

• Remeber to look for clues in the word problem that will give you a slope (rate) and y-intercept (starting point)

Fill in the Blank

Sue is having a car wash to raise money for vacation. The amount A that she raises can be modeled by the equation A = 8n - 40, where n is the number of cars washed. How much money did she make after washing 11 cars?

Domain & Range of lines

• Because lines extend forever, both the domain and range extend to infinity

• Pay attention to the direction the line is pointing (positive or negative slope). We read a graph from left to right.

• Domain is the X values

• Range is the Y values

Multiple Choice

What is the domain of the line?

• $\left(-\infty,\infty\right)$

• $\left(\infty,-\infty\right)$

Multiple Choice

What is the range of the line?

• $\left(-\infty,\infty\right)$

• $\left(\infty,-\infty\right)$

Linear Inequalities

•  $\le\ or\ge$  solid line

•  $<\ or\ >$  dashed line

• Use a test point or Desmos to check shading

Multiple Choice

Which equation matches the inequality on the graph?

• $y<-x-3$

• $y>-x-3$

• $y\le-x-3$

• $y\ge-x-3$