Introduction to Rate of Change

IMPORTANT!

• (Independent, Dependent)

• (x , y)

Writing an Equation

You can use an equation to represent an algebraic relationship.

The input or independent variable represents the x-values.

The output or dependent variable represents the y-values.

An equation represents the relationship between the independent and the dependent quantities.

y = mx +b

• m = slope

• b = y -intercept of the line

Multiple Choice

What does 'b" represent in y=mx=b

• y-intercept

• beans

• nothing

• slope

Multiple Choice

Which statement best describes "m"?

• x- intercept

• y - intercept

• slope

• tasty

What is the equation of the line?

What is the equation of the line?

Multiple Choice

Give the equation for the graph

• y = 5x - 3

• y = 4x + 2

• y =-2x + 5

• y = - 2x + 4

Multiple Choice

Which equation best represents the line on the graph?

• y= 1/2x

• y= -1/2x

• y = 2x

• y = -2x

Multiple Choice

What is the equation of this line?

• 0

• undefined

• y = -2

• x = -2

Write down each piece of information on your white board! You'll need it for the next couple questions!

Write down each piece of information on your white board! You'll need it for the next question!

Write down each piece of information on your white board! You'll need it for the next question!

Identify the slope and y-intercept from the linear equation: y = 4x - 2

• Slope (m) =

• y-intercept (b) =

LInear Equations

Unit 5

#1 Identify the slope and y-intercept from equation and graph

#2 Write the equation for a line in slope-intercept form

Multiple Choice

The equation of the graph is

• y = 4x - 5

• y = 5 - 2x

• y = 2x + 5

• y = 3x + 5

Slope from slope-intercept form

If the equation is in slope-intercept form (solved for y), then the slope is the number IN FRONT OF the x. NOT the x.

Example: y = mx + b, m is the slope. NOT mx.

mx + b = y, m is still the slope.

Multiple Select

Choose all of the equations in which the slope is -5.

• y = -5x + 2

• y = 2x - 5

• 7 - 5x = y

• -5x + y = 7

Parallel Slopes

In order for two lines to be parallel, the slopes of their equations must be the same.

Multiple Select

Select the two equations that would create parallel lines.

• $$y=\frac{2}{3}x-9$$

• $$y=-\frac{3}{2}x\ +\ 6$$

• $$y=-\frac{2}{3}x-5$$

• $$y=\frac{3}{2}x+9$$

• $$y=\frac{2}{3}x-4$$