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Now You Know How To Find Slope!

How to Find Slope with 2 Points

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Use the points (2,1) and (4,5).

Find the slope by using the formula

Now you end up with 5-1/4-2= 4/2=2

So, your slope is 2.

Now you can graph the equation.

Put one of the two points on the graph, so

for examples lets plot (2,1).

Then use the slope 2 so go up 2 and to the

right 1.

The line goes through both the points and is a linear equation.

Finding x and y Intercepts

Example in slope intercept form: y=3x+2

The y intercept in this equation is 2.

Example in standard form:

5x+2y=10

Steps for x-intercept: To find x make y=0. Then you are left with 5x=10 So, x=2.

Steps for y-intercept: To find y-intercept make x=0. Then you are left with 2y=10. So, y=5.

Example 2)

3y= 6x+12

To solve divide each side by three to get ¨Y¨ by itself. So when you divide everything by three you get the equation y=2x+4. That is the equation you graph.

Practicing Slope Finding

Now lets graph!

Y= 3/2x -1

  • To find slope, you must first put your

info into slope intercept form. Slope

intercept form is Y=MX+B. M= the

slope and B is the Y intercept.

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  • to start you go to the y intercept which is

in this case -1, and then use the rise over run method, so you would rise 3 and

run 2

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2y+ 2x=4

To find the x intercept you must first plug 0 in for y. Then 2x= 4 so x=2. Then do the same for x, and you would get y=2. you can now graph the line that passes through 2 on the x axis and 2 on the y axis.

Point: (3,2)

Slope: 5/3

Y Intercept: 2

To graph: Find 2 on the y-xis and plot a point. Then rise 5 and run 3 to graph your line.

Slope-Intercept Form

An equation in slope-intercept form is y=mx+b

  • Y- stands for one coordinate on the y-axis that is on the line
  • M- stands for the slope
  • X- stands for a coordinate for the x-axis that is on the line
  • B- stands for the y-intercept or where the line hits the y-axis

Understanding Slope

Examples of equations in slope-intercept form

  • y=2x+3 and y=1/4x-6

0

Ex: 4x+3y=12

To solve this equation put zero in fo each variable. So you get 3y=12. So y=4. And then do the same for x. So 4x=12. X=3.

Examples of equations in standard form:

  • 3x+4y=15 and 5y-2x=10

How to solve equations in standard form:

1. Create a table with x as zero in the first column and y as zero in the next.

2. Plug in x and y as zero to find both values.

3. 4(0)+3y=12

4.Y=4

5. 4x+3(0)=12

6. X=3

Example of solving y-intercept form:

Say you have the equation 3y=2x+15. You would divide everything by 3 to isolate y. You then get the equation y=2/3x+5 and that is the equation you graph.

How to Find Slope With Coordinate Points

  • The formula for finding slope with two coordinate points is:
  • In a coordinate point: (x,y)
  • For example: (5,3) (6,2) 5 & 6 is the ''x'' and 3 & 2 is the ''y''
  • How to solve: lets start with 2-3 over 6-5! which would equal -1/1 then divide both top and bottom to get a slope of -1.

How to Find Slope on a Grid

The slope of this line is 2.

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  • To find slope on a line use the concept of rise over run.
  • This means you go up on the grid, then to the left and right on a grid.
  • There are four different types of slopes:
  • Positive, negative, undefined, and zero.

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over 1

up 2

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Important Key Words

  • What is slope? Slope is the steepness of a line!
  • X intercept- Where the line hits the x axis
  • Y intercept- where the line hits the y axis
  • Coefficient-the number getting multiplied by a variable
  • Constant- a number that is not being multiplied by a variable

By: Katie Jameson and Jamie Petrella

What Will We Be Learning Today?

  • We will be learning about how to find slope, on a line and with two coordinate points.
  • We will also be learning how to graph slope and how to write the equation of a line.
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