Linear Functions

Linear Functions

Write an equation in slope intercept form for each representation.

Remember...

1.) Find the slope

2.) Find the y-intercept (b)

3.) Plug both values into y = mx + b

Multiple Choice

Write an equation in slope-intercept form:

$$slope\ =\ -\frac{2}{3}$$   $$y-intercept\ =\ \left(0,\ -9\right)$$  

• $$y\ =\ -\frac{2}{3}x\ +\ 9$$  

• $$y\ =\ -\frac{2}{3}x\ -\ 9$$  

• $$y\ =\ -9x\ +\ \frac{2}{3}$$  

• $$y\ =\ -9x\ -\ \frac{2}{3}$$  

Multiple Choice

Write an equation in slope-intercept form:

 $Slope\ =\ 10$  

 $y-intercept\ =\ \left(0,\ 8\right)$  

•  $y\ =\ 8x\ -\ 10$  

•  $y\ =\ 8x\ +\ 10$  

•  $y\ =\ 10x\ -\ 8$  

•  $y\ =\ 10x\ +\ 8$  

Multiple Choice

Write an equation in slope-intercept form:

 $Slope\ =\ \frac{3}{8}$  

 $y-intercept\ =\ \left(0,\ -1\right)$  

•  $y\ =\ \frac{3}{8}x\ -\ 1$  

•  $y\ =\ \frac{3}{8}x\ +\ 1$  

•  $y\ =\ 1x\ +\ \frac{3}{8}$  

•  $y\ =\ 1x\ -\ \frac{3}{8}$  

From a Graph

Find the Slope

Find the y-intercept

Plug in the values to y = mx + b

Multiple Choice

Write the equation for the graph shown.

• $$y\ =\ \frac{2}{1}x\ +\ 9$$  

• $$y\ =\ -\frac{1}{2}x\ -\ 9$$  

• $$y\ =\ -\frac{2}{1}x\ +\ 9$$  

• $$y\ =\ \frac{1}{2}x\ +\ 9$$  

Multiple Choice

Write the equation for the graph shown.

• $$y\ =\ -\frac{2}{4}x\ +\ 8$$  

• $$y\ =\ \frac{2}{4}x\ +\ 8$$  

• $$y\ =\ 8x\ +\ \frac{2}{4}$$  

• $$y\ =\ -\frac{4}{2}x\ +\ 8$$  

Multiple Choice

Write an equation for the graph shown.

• $$y\ =\ -\frac{3}{1}x\ +\ 2$$  

• $$y\ =\ \frac{1}{3}x\ +\ 2$$  

• $$y\ =\ \frac{3}{1}x\ +\ 2$$  

• $$y\ =\ 2x\ +\ \frac{3}{1}$$  

From a Scenario

Find the slope (Per, Each, Every)

Find the y-intercept (initial value)

Multiple Choice

A photographer has already taken 10 pictures. She takes an additional 3 pictures per hour.

• $$y\ =\ 10x\ +\ 3$$

• $$y\ =\ 3x\ +\ 10$$

• $$y\ =\ 3x\ -\ 10$$

Multiple Choice

Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.

• $$y\ =\ 200-5x\$$

• $$y\ =\ 5x\ +\ 200$$

• $$y\ =\ -200x\ +\ 5$$

Multiple Choice

Bad Bunny currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 per dozen to raise more money.

• $$y\ =\ 25x\ -\ 5$$

• $$y\ =\ 25x\ +\ 5$$

• $$y\ =\ 5x\ +\ 25$$

• $$y\ =\ -5x\ +\ 25$$

From a Table

Find the slope

Find the y-intercept

Plug the values into y = mx + b

Multiple Choice

Write an equation for the table shown.

• $$y\ =\ \frac{1}{2}x\ +\ 4$$

• $$y\ =\ \frac{1}{2}x\ -\ 2$$

• $$y\ =\ \frac{2}{1}x\ -\ 2$$

• $$y\ =\ \frac{1}{2}x\ -\ 3$$  

Multiple Choice

Write an equation for the table shown.

• $$y\ =\ 3x\ +\ 4$$

• $$y\ =\ 3x\ -\ 2$$

• $$y\ =\ \frac{1}{3}x\ +\ 4$$

• $$y\ =\ -3x\ +\ 4$$  

Multiple Choice

Write an equation for the table shown.

• $$y\ =\ \frac{1}{3}x\ +\ 6$$

• $$y\ =\ \frac{1}{3}x\ -\ 2$$

• $$y\ =\ -2x\ +\ \frac{1}{3}$$

• $$y\ =\ \frac{3}{1}x\ -\ 2$$