Reviewing Slope Basics

Our next unit is

Linear Functions

​For this unit, you need to be able to:

_ find slope given a table, equation, or graph.

​

In the next few slides, you will revisit these skills to prepare you for this unit. ​

​

describes the direction and steepness of a line.

​

Slope:

​

​In general , slope is the ratio of vertical change to horizontal change.

We often think of this as "rise over run" or "change in y over change in x"​

​y_2-y₁

​x_2-x₁​

​

​*if a slope doesn't simplify to a whole number, we leave it as a fraction! This is so we can easily identify the relationship! (the rise AND the run)

​Table

You can also use two points to find slope, simply by finding the change in y-values and x-values, respectively. Finding the slope is even easier if the points are presented as a graph. We can identify the two points and count the rise/run units

​Graph

The equation of a line can be written in different forms. The equation shown above is slope-intercept form. This equation is written in terms of y, the coefficient of x is the slope (denoted by m) and the constant (denoted by b) is the y-intercept (where the line crosses the y-axis.

​Equation

​Identifying slope with...

Slope can be identified using a table by finding the

change in y-values and change in x-values.

Multiple Choice

What is the slope of this equation? 
y = 3x - 4 

• 3
• -4
• 3x
• 4

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero slope

• undefined

Multiple Choice

What type of slope is shown?

• undefined

• positive

• negative

• zero slope

Draw

#1 Find the slope. Show your work here & type response on the next slide.

Fill in the Blanks

#1 What is the slope ?

Draw

#2 Find the slope. Show your work here & type response on the next slide.

Fill in the Blanks

#2 Slope:

Draw

#3 Find the slope of a line which contains the points: (0, 8) and (5, 10) Show your work here and type your response on the next slide.

Fill in the Blanks

#3 Slope of a line which contains the points: (0, 8) and (5, 10)

Multiple Choice

Find the slope.

• m = -2
• m = 2
• m = 1/2
• m = -1/2

Multiple Choice

Find the slope of the line that passes through: 
(2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope of the line that passes through:
(-12, -5) and (0, -8)

• 1/4
• -1/4
• 4
• -4

Fill in the Blanks

Convert the equation to slope-intercept form. (no spaces; lowercase variables)

$-3x+y=14$  

(basically, isolate y)

Fill in the Blanks

Convert the equation to slope-intercept form. (no spaces; lowercase variables)

$15x=5y+10$  

(basically, isolate y)