Slope and y=mx +b

Slope and y=mx +b

Multiple Select

What do we know about slope?

• 
  

  $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

• rise/run (count the units up and over from one point to another)

• run/rise (count the units over and up from one point to another)

• its the same as the unit rate

Multiple Choice

Find the slope given the points (2, −7) and (−1, 6). 

• -13/3
• 13/3
• 0
• 2/3

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

What type of slope?

• zero slope

• undefined

• negative

• positive

Today we are learning to represent relationships using the form y=mx+b

• m = SLOPE

• b= y intercept

Write an equation to describe the graph

• What is the slope?

• Use the points (0,0) and (4,80)

• What is the y-intercept?

• y=20x

Multiple Choice

A recipe calls for 1 cup of raisins for every 2 cups of granola. Write an equation to describe the relationship between raisins and granola.

• y=2x

• y=1x + 2

• y= 1/2x

• y=2x + 1

Open Ended

Write the equation of a proportional line that contains the points (-3, -9) and (7, 21)

to graph a line in y=mx + b form

• Start at the y-intercept

• Use the slope to move up/down THEN left/right

Multiple Choice

When you graph a line using slope-intercept form (y=mx+b), you graph the ___________ first and then use the ___________ to find the second point.

• origin; slope

• slope; y-intercept

• y-intercept; x-intercept

• y-intercept; slope

Multiple Choice

What is the y-intercept in the equation

y= - 2x

• -2

• -2x

• 0

• 1

Multiple Choice

How would you graph the slope -2?

• Go down 2 and to the right 1

• Go up 2 and right 1

• Go left 2 and up 1

• Go right 2 and down 1

Multiple Choice

Choose the graph of y= -2x

Multiple Choice

Match the correct equation to the graph

• y = 90x

• y = 9x

• y = 10x

• y = 2x

Multiple Choice

Match the correct equation to the graph

• y = 5x

• y = 25x

• y = 3x

• y = 10x