Find the Equation of a Line

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# Find the Equation of a Line - PowerPoint PPT Presentation

Find the Equation of a Line. Slope intecept form: y = mx+b m is ? slope b is ? y intercept. Find the Equation of a Line. y = mx + b if m = 2 and b = 3 what is the equation of the line? y = 2 x + 3. Find the Equation of a Line. y = mx + b if m = -4 and b = -3

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Presentation Transcript
Find the Equation of a Line

Slope intecept form:

y = mx+b

m is ?

slope

b is ?

y intercept

Find the Equation of a Line

y = mx + b

if m = 2 and b = 3

what is the equation of the line?

y = 2x + 3

Find the Equation of a Line

y = mx + b

if m = -4 and b = -3

what is the equation of the line?

y = -4x - 3

Find the Equation of a Line

y = mx + b

if m = (1/3) and b = -5

what is the equation of the line?

y = (1/3)x - 5

Find the Equation of a Line

y = mx + b

if m = (-1/2) and b = 7

what is the equation of the line?

y = (-1/2)x + 7

Graphing a Line Using Slope Intercept Form

y = mx + b

m is slope

slope is

Graphing a Line Using Slope Intercept Form

y = mx + b

b is ?

y intecept: the point on the graph where the line intecepts the y axis

Graphing a Line Using Slope Intercept Form

y = (1/2)x + 3

What is the y intercept?

3

What is the coordinate of the y intercept?

(0,3)

Graphing a Line Using Slope Intercept Form

y = (1/2)x + 3

What is the y intercept? 3

What is the coordinate of the y intercept?

(0,3)

Graphing a Line Using Slope Intercept Form

y = (1/2)x + 3

What is the Slope?

(1/2)

How do we interpret the slope?

Move in pos. y 1 unit

Move in pos x 2 units

Graphing a Line Using Slope Intercept Form

y = (1/2)x + 3

What is the Slope?

(1/2)

How do we interpret the slope?

Move in pos. y 1 unit

Move in pos x 2 units

Graphing a Line Using Slope Intercept Form

y = (1/2)x + 3

you can repeat this process multiple times

3 dots is good enough

to draw the line

Graphing a Line Using Slope Intercept Form

y = (1/2)x + 3

you can repeat this process multiple times

3 dots is good enough

to draw the line

Graphing a Line Using Slope Intercept Form

y = (-3/4)x - 2

What is the y intercept?

-2

What is the coordinate of the y intercept?

(0,-2)

Graphing a Line Using Slope Intercept Form

y = (-3/4)x - 2

What is the y intercept?

-2

What is the coordinate of the y intercept?

(0,-2)

Graphing a Line Using Slope Intercept Form

y = (-3/4)x - 2

What is the slope?

(-3/4)

How do we interpret the slope?

Move Neg Y 3-units

Move Pos X 4-units

Graphing a Line Using Slope Intercept Form

y = (-3/4)x - 2

What is the slope?

(-3/4)

How do we interpret the slope?

Move Neg Y 3-units

Move Pos X 4-units

Graphing a Line Using Slope Intercept Form

y = (-3/4)x - 2

you can repeat this process multiple times

3 dots is good enough

to draw the line

Graphing a Line Using Slope Intercept Form

y = (-3/4)x - 2

you can repeat this process multiple times

3 dots is good enough

to draw the line

Graphing a Line Using Slope Intercept Form

y = (1/3)x - 4

What is the y intercept?

(1/3)

What is the coordinate of the y intercept?

-4

Graphing a Line Using Slope Intercept Form

y = (1/3)x - 4

What is the y intercept?

-4

What is the coordinate of the y intercept?

(0,-4)

Graphing a Line Using Slope Intercept Form

y = (1/3)x - 4

What is the slope?

(1/3)

How do we interpret the slope?

Move Pos Y 1-units

Move Pos X 3-units

Graphing a Line Using Slope Intercept Form

y = (1/3)x - 4

What is the slope?

(1/3)

How do we interpret the slope?

Move Pos Y 1-units

Move Pos X 3-units

Graphing a Line Using Slope Intercept Form

y = (1/3)x - 4

you can repeat this process multiple times

3 dots is good enough

to draw the line

Graphing a Line Using Slope Intercept Form

y = (1/3)x - 4

you can repeat this process multiple times

3 dots is good enough

to draw the line

Point – Slope Formula

y-y1 = m(x – x1)

slope is (1/3)

point is (2,3)

Find the equation of the line.

y – 3 = (1/3)(x – 2)

Point – Slope Formula

y – 3 = (1/3)(x – 2)

solve by getting y by itself

Point – Slope Formula

y – 3 = (1/3)(x – 2)

solve by getting y by itself