Chapter 4 Review: Linear Functions

Chapter 4 Review: Linear Functions

Multiple Choice

Slope-Intercept Form

• y - y₁ = m (x - x₁)

• y = mx+b

• y₂ - y₁ / x₂ - x₁

• Ax + By = C

• y = mx

Multiple Choice

Direct Variation

• y - y₁ = m (x - x₁)

• y = mx+b

• y₂ - y₁ / x₂ - x₁

• Ax + By = C

• y = mx

Multiple Choice

Slope

• y - y₁ = m (x - x₁)

• y = mx+b

• y₂ - y₁ / x₂ - x₁

• Ax + By = C

• y = mx

Multiple Choice

Point-Slope Form

• y - y₁ = m (x - x₁)

• y = mx+b

• y₂ - y₁ / x₂ - x₁

• Ax + By = C

• y = mx

Multiple Choice

Standard Form

• y - y₁ = m (x - x₁)

• y = mx+b

• y₂ - y₁ / x₂ - x₁

• Ax + By = C

• y = mx

Poll

How are you feeling about just the info in the previous 5 slides?

• Are you joking...This is my jam!

• Easy Peasy

• Move on already

• Ummmm...no

  Just no

• Help

  Me

  Now

Multiple Choice

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

• Positive

• Negative

• Undefined

• Zero

Poll

How are you feeling about just the info in the previous 6 slides?

• We're seriously still doing this?!

• Beyond simple

• Always good to practice

• Working on it

• Help

  Me

  Now

Graphing Equations in

Slope-Intercept Form

4.1

Fill in the Blank

Write an equation of a line in slope-intercept form with the given information (no spaces)

Slope: 3

y-intercept: 5

Fill in the Blank

Write an equation of a line in slope-intercept form with the given information (no spaces)

Slope: -2

y-intercept: -9

Fill in the Blank

Write an equation of a line in slope-intercept form with the given information (no spaces)

Slope: 2/3

y-intercept: 3

Fill in the Blank

Fill in the blank

y = -5x - 3

The y-intercept is (0, ___)

Poll

How do you feel about lesson 4.1?

• Fabuloso!!!

  Make it harder

  >:] mwahahaha

• Pretty decent. We can move on

• Ok, I'll do some practice problems from the chapter tonight

• I need some extra time to work on this. Let's do a few more together

• Dear Office Hours,

  You are the bane of my existence but it is time that we actually meet.

  Sincerely,

  Me

Writing Equations in

Slope-Intercept Form

4.2

Fill in the Blank

Write an equation of a line in slope-intercept form with the given information (no spaces)

(1, 2)

Slope: 3

Fill in the Blank

Write an equation of a line in slope-intercept form with the given information (no spaces)

(2, -6)

Slope: -4

Fill in the Blank

Find the slope of the line passing through the given points

(2, -1) and (5, 2)

Fill in the Blank

Write the equation of the line that passes through the given points (no spaces)

(2, -1) and (5, 2)

Fill in the Blank

Find the slope of the line passing through the given points

(5, -2) and (5, 8)

Fill in the Blank

Find the slope of the line passing through the given points

(-4, 3) and (1, 13)

Fill in the Blank

Write the equation of the line passing through the given points (no spaces)

(-4, 3) and (1, 13)

Poll

How do you feel about lesson 4.2?

• Fabuloso!!!

  Make it harder

  >:] mwahahaha

• Pretty decent. We can move on

• Ok, I'll do some practice problems from the chapter tonight

• Why did you make it harder!?! We should do a few more

• Dear Office Hours,

  You are the bane of my existence but it is time that we actually meet.

  Sincerely,

  Me

Fill in the Blank

Equation of line BC in slope intercept form (no spaces)

Fill in the Blank

Equation of line AB in standard form (no spaces)

Fill in the Blank

Equation of line BC in point-slope form (use point B) (no spaces)

Fill in the Blank

Equation of line AC in any form (no spaces)

Multiple Choice

The equation V = -32t + 256 and the graph below describe the velocity V in feet per second of a ball t seconds after is shot into the air. What is the ball's velocity after seven seconds?

• 256 ft/s

• 0 ft/s

• 32 ft/s

• 480 ft/s

Multiple Choice

Which is the graph of
 $y\ =\ \frac{3}{2}x\ -\ 4$  

Multiple Choice

Which is the graph of
 $\frac{1}{3}x\ +\ \frac{5}{6}y\ =\ 5$  

Multiple Choice

Write an equation in slope-intercept form of a line with

a slope of $\frac{3}{4}$  and a y-intercept of -2

•  $y\ =\ \frac{3}{4}x\ -\ 2$  

•  $y\ =\ -2x\ +\ \frac{3}{4}$  

•  $y\ =\ \frac{3}{4}x\ +\ 2$  

•  $x\ =\ \frac{3}{4}y\ -\ 2$  

Multiple Choice

Which is the slope-intercept form of an equation for the line containing

(0, –3) with slope –1?

• y = -x - 3

• y = -3x - 1

• y = x + 3

• x = -3y - 1

Multiple Choice

Write an equation in slope-intercept form of the line with 
a slope of $-\frac{3}{4}$  and a y-intercept of -5

•  $y\ =\ 5x\ -\ \frac{3}{4}$  

•  $3x\ +\ 4y\ =\ 20$  

•  $y\ =\ -\frac{3}{4}x\ -\ 5$  

•  $y\ =\ -\frac{3}{4}x\ +\ 5$  

Multiple Choice

Write an equation of the line that passes through

(-2, 8) and (-4,-4).

• $y\ =\ 2x\ +\ 12$

• $y\ =\ 6x\ +\ 20$

• $y\ =\ -6x\ -\ 4$

• $y\ =\ \frac{1}{6}x\ +\ \frac{25}{3}$

Multiple Choice

Write the following in standard form
 $y\ -\ 3\ =\ \frac{2}{3}\left(x\ -\ 2\right)$  

•  $2x\ -\ 3y\ =\ 5$  

•  $y\ =\ \frac{2}{3}x\ +\ \frac{5}{3}$  

•  $-2x\ +\ 3y\ =\ -5$  

•  $2x\ -\ 3y\ =\ -5$  

Multiple Choice

Write the following in slope-intercept form
 $y\ -\ 1\ =\ 2\left(x\ -\ \frac{3}{2}\right)$  

•  $2x\ -\ y\ =\ 2$  

•  $\frac{1}{2}y\ +\ \frac{1}{2}\ =\ x$  

•  $y\ =\ 2x\ -\ \frac{1}{2}$  

•  $y\ =\ 2x\ -\ 2$  

Multiple Choice

A cell phone company charges $42 per month of service. The cost of a new cell phone, plus 8 months of service, is $415.99. How much does it cost to buy a new cell phone and 3 months of service?

• $79.99

• $126.00

• $205.99

• $289.99

Multiple Choice

Write an equation in slope-intercept form of a line with
a slope of $\frac{3}{4}$  and a y-intercept of -2

•  $y\ =\ \frac{3}{4}x\ -\ 2$  

•  $y\ =\ -2x\ +\ \frac{3}{4}$  

•  $y\ =\ \frac{3}{4}x\ +\ 2$  

•  $x\ =\ \frac{3}{4}y\ -\ 2$  

Multiple Choice

Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6?

• $y\ =\ -2x\ +\ 1$

• $y\ =\ \frac{1}{2}x\ -\ 3$

• $y\ =\ 2x$

• $y\ =\ 4x\ +\ 3$