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# Graphing linear equations

learn how to use slope and y intercept to write and graph equations on a coordinate plane.

by

Tweet## Renee Downey

on 24 March 2011#### Transcript of Graphing linear equations

Review Slope

Y intercept Writing an Equation Graphing a line Slope intercept form x and y axis' x y Coordinates Coordinates are points

on a graph. They are

always written in the form

(x,y) The x coordinate represents the distance

left or right from the ORIGIN (0,0)

If the point is Left of the origin then the

x coordinate is negative.

If the point is right of the origin then the

x coordinate is positive The y coordinate represents the disstance

up or down from the ORIGIN (0,0)

If the point is UP from the origin then the

y coordinate is positive

If the point is down from the origin then then

y coordinate is negative Definitions:

The change in y over the change in x

Always write slope in fraction form

How far your line moves up/down and to the right from the left most point.

Represented by the letter m

m = y1 -y2

-------

x1-x2

Example:

(5,2) (4,-8)

-8 - 2 -10 10

------- = ----- = -----

4-5 -1 1 Use the left most point...(-2,0)

move up first (up 3) then to the

right (2 to the right)...

now write it as a fraction:

3/2

m= 3/2 Definition:

Where the line crosses the

y axis.

Represented by the letter b The line crosses the y axis at 3.

If it crosses above the origin then it

is a positive y intercept.

If it crosses below the origin then it is a negative y intercept

b = 3 y = mx + b S1: Find the y intercept (b)

b = 3

S2: Find the slope

m = 3/2

S3: Plug in your values

y = mx + b

y = 3/2x + 3 y = 3/2x + 3 S1: Graph your first point at 3

on the y axis

S2: Move from the first point

according to slope (up three

and to the right two.) This is

your second point.

S3: Draw a line connecting

your points.

S4: Label your axis and point

coordinates. y = mx+b

b= y intercept

m = slope

Used to graph linear equation Include the sign when you

determine b

Aleays write slope as a fraction

Full transcriptY intercept Writing an Equation Graphing a line Slope intercept form x and y axis' x y Coordinates Coordinates are points

on a graph. They are

always written in the form

(x,y) The x coordinate represents the distance

left or right from the ORIGIN (0,0)

If the point is Left of the origin then the

x coordinate is negative.

If the point is right of the origin then the

x coordinate is positive The y coordinate represents the disstance

up or down from the ORIGIN (0,0)

If the point is UP from the origin then the

y coordinate is positive

If the point is down from the origin then then

y coordinate is negative Definitions:

The change in y over the change in x

Always write slope in fraction form

How far your line moves up/down and to the right from the left most point.

Represented by the letter m

m = y1 -y2

-------

x1-x2

Example:

(5,2) (4,-8)

-8 - 2 -10 10

------- = ----- = -----

4-5 -1 1 Use the left most point...(-2,0)

move up first (up 3) then to the

right (2 to the right)...

now write it as a fraction:

3/2

m= 3/2 Definition:

Where the line crosses the

y axis.

Represented by the letter b The line crosses the y axis at 3.

If it crosses above the origin then it

is a positive y intercept.

If it crosses below the origin then it is a negative y intercept

b = 3 y = mx + b S1: Find the y intercept (b)

b = 3

S2: Find the slope

m = 3/2

S3: Plug in your values

y = mx + b

y = 3/2x + 3 y = 3/2x + 3 S1: Graph your first point at 3

on the y axis

S2: Move from the first point

according to slope (up three

and to the right two.) This is

your second point.

S3: Draw a line connecting

your points.

S4: Label your axis and point

coordinates. y = mx+b

b= y intercept

m = slope

Used to graph linear equation Include the sign when you

determine b

Aleays write slope as a fraction