How to Calculate Slope

Slope (m) =Rise Slope (m) = y2-y1

----- or -------- Run x2-x1

Rules for Calculating Slope Find two points on the line (x1, y1) and (x2, y2) Count the rise (the y points)

o How many units do you count up or down to get from one point to the next?o Record this number as your numerator

Count the run (the x points)o How many units do you count left or right to get to the point?o Record this number as your denominator

Simplify your fraction, if possible

Example

Slope Intercept Form You can use the slope intercept form to graph a linear equation quickly and easily An x intercept is the point where your line crosses the x-axis The y intercept is the point where your line crosses the y-axis

Slope Intercept Form Equation: y=mx+b X and Y are your variables M represents your slope

B represents the y intercept In this form only (when your equation is written as y = ....)

the coefficient of x is the slope and the constant is the y intercept

Example

Practice Problems1. Find the slope of the graph using rise/run. Show your work. Simplify your answer.

2. Find the slope of the graph using slope intercept form. Show your work. Simplify your answer.

3. Find the slope of the line that passes through the points (7 , 4) and (-9 , 4). Draw the graph and show your work. Simplify your answer.

4. Find the slope of the line that passes through the points (-1 , 0) and (3 , 8). Draw the graph and show your work. Simplify your answer.

5. Find the slope of the line that passes through the points (2 , 0) and (2 , 4). Draw the graph and show your work. Simplify your answer.

6. Find the equation of the line that has a slope of 6 and passes through the point (-3,5).

7. Find the equation of the line that has a slope of -2 and a y-intercept of -9.

8. Find the slope of the line passing through the points (4,3) and (-5,-2). 

9. Find the slope of the line whose equation is y - 3x = 7.

10. Simon runs on a 5 mile path several times a week.  Since he is just beginning this exercise program, he runs part of the way and walks the rest of the way.  Simon's running speed is 7 mi/hr and his walking speed is 5 mi/hr. Write an equation to represent Simon's exercise program.  The equation should be in slope-intercept form.

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/slope-intuition-example

Video: https://www.youtube.com/watch?v=713apMgym-w https://www.youtube.com/watch?v=FHL307YR5gk