Introduction to Slope Intercept Form

Introduction to Slope Intercept Form

Multiple Choice

Before we learn something new, how can slope be remembered?

• $$\frac{run}{rise}$$  

• $$\frac{rise}{run}$$  

• $$\frac{up}{down}$$  

• $$\frac{right}{left}$$  

Multiple Choice

What is the slope of this line?

• $$\frac{3}{2}$$  

• $$\frac{2}{3}$$  

• $$-\frac{3}{2}$$  

• $$-\frac{2}{3}$$  

Multiple Choice

What is the formula used to find slope?

• $$y=mx+b$$  

• $$m=\frac{y_2-y_1}{x_2-x_1}$$  

• $$y-y_1=m\left(x-x_1\right)$$  

• $$ax+by=c$$  

Multiple Choice

Find the slope of the line through points, (3, −20) and (5, 8)

• 14

• 28

• $$\frac{1}{14}$$  

• $$\frac{1}{28}$$  

​Time to Learn!

​Slope Intercept Form

​

​-What is it?

​-Why is it important?

​-How to use it!

​What is Slope Intercept Form?

​Its the form of a line!

​What is Slope Intercept Form Important?

​Its the most common form to graph a line from!

​

​Easily identifies the slope and y-intercept

Multiple Choice

Which one is slope intercept form?

• $$y=mx+b$$  

• $$m=\frac{y_2-y_1}{x_2-x_1}$$  

• $$y-y_1=m\left(x-x_1\right)$$  

• $$ax+by=c$$  

​So how do we use Slope Intercept Form?

​So how do we use Slope Intercept Form?

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

What is the y-intercept of the line with the equation $$y\ =\ -2x\ +\ 4$$  

• $$-2$$  

• $$2$$  

• $$4$$  

• $$-4$$  

Multiple Choice

What is the slope of the line with the equation $$y\ =\ -\frac{3}{2}x\ +\ 4$$  

• $$-\frac{3}{2}$$  

• $$\frac{3}{2}$$  

• $$4$$  

• $$-4$$  

Multiple Choice

Graph the line with the equation $$y\ =\ -\frac{2}{3}x\ +\ 4$$  

Multiple Choice

Graph the line with the equation $$y\ =\ -\frac{1}{3}x\ -\ 4$$  

​New example!

​Write the equation of the line

​New example!

​Write the equation of the line given that m=2 and the y-intercept is 3

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

What is the equation of this line?

• y = 2x +2
• y = 2x -2
• y = -x + 2
• Cannot be Determined

Multiple Choice

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

• y=12x-10

• y=10x+12

• y=12x+10

• x=10x-12

Multiple Choice

Write the equation for the line.

• y= -1x+3
• y= 4x+3
• y=(1/4)x+3
• y= -4x+3