Slope-intercept form

Slope-intercept form (Algebra Introduction)

Building on Slope Knowledge

What do we know from this graph?

• slope m = -4

• y-intercept b = (0,1)

• slope intercept form

• y = -4x + 1

What do we know about this graph?

slope m = 0

y-intercept b = (0,-1)

slope-intercept

y=0x - 1

y = -1

Multiple Choice

What is the slope of this graph?

• $$\frac{2}{5}$$

• $$-\frac{2}{5}$$

• 0

Multiple Choice

What is the y-intercept of the graph?

• $$\left(0,3\right)$$

• $$\left(0,0\right)$$

• $$\left(0,-3\right)$$  

Multiple Choice

Which equation is the slope-intercept form of the graph?

• $$y=-2x+3$$

• $$y=-\frac{2}{5}x-3$$

• $$y=\frac{2}{5}x+3$$

• $$y=-\frac{2}{5}x+3$$

What do we know from this graph?

Multiple Choice

What is the slope-intercept equation of the graph?

• $$y=1x+2$$

• $$y=-1x+2$$

• $$y=2$$

• $$y=-1x$$

Multiple Choice

Using a slope of 3 and a y-intercept of (0, -2), what is the slope-intercept form?

• $$y=3x-2$$

• $$y=-2x+3$$

• $$y=3x+2$$

What do we know about this graph?

Multiple Select

Which 2 statements below are TRUE?

• The y-intercept is (0,-2)

• The y-intercept is (0,-3)

• The slope is 2

• The slope is -2

Multiple Choice

Which equation matches the situation?  A plumber charges $50 for a house call plus $12 per hour for labor. (x = number of hours worked and y = total cost)

• y = 50 x + 12

• y =12 x + 50

• y = 62 x

• x = 50 + 12y

Multiple Choice

Which graph matches the equation? $$y\ =\ -\frac{1}{3}x\ -\ 4$$  

Multiple Choice

Ryan's Auto Wash earns revenues of $9 per customer. Write an equation that shows the relationship between the number of customers x and the revenue y.

• $$y=9x$$

• $$x=9y$$

• $$y=x^9$$

• $$y=x+9$$

Multiple Choice

An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=5.5x+20 where x is the number of rides you ride. What does the y intercept represent?

• Number of rides

• The entrance fee

• The cost for food

• The cost per ride

Multiple Choice

Write the equation that represents this word problem:

Marcus makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

• y= 8x + 3x

• y= 3x + 8

• y= 8x + 3

• y= 3 + 8

Multiple Choice

Write the equation of the graph in slope-intercept form

• $$y=-2x-4$$

• $$y=2x\ -\ 4$$

• $$y=\frac{1}{2}x-4$$

• $$y=-\frac{1}{2}x-4$$

Multiple Choice

Which graph matches the equation? $$y\ =\ \frac{1}{3}x\$$  

I know that you are smiling!

​Slope-intercept is the "go to" form of linear graphing.