Understanding Y-Intercept

​THIS IS SLOPE INTERCEPT FORM

• M=Slope

• Y=y-intercept

Slope and intercept

There are two key factors we need to identify in a graph of a line.

1. slope

2. y-intercept

y = m x + b

slope --- y-intercept

After we find these, we plug them into the equation.

Multiple Choice

What is the slope-intercept form of the equation of a line?

• y=yx+b

• y=mx+b

• x=yx+b

• x=xy+b

Finding slope from a Table

• Slope = change in y/change in x

• Use the table to find the value the y is changing by. That is the numerator!

• Use the table to find the value the x is changing by. That is the denominator!

• ANOTHER OPTION: Graph the points and count rise/run

Multiple Choice

Find the slope of the table.

• -1/2

• -2

• 1/2

• 2

Finding the Slope of a Line

• Slope can tell us how steep a line is!

• Each line can be assigned a value (a #) that tells us how steep the line is.

• Slope is written as a ratio (rise/run)

• Always make sure to simplify your answer!

Multiple Choice

What is the slope of the line

• -2/3

• 2/3

• 3/2

• -3/2

Fill in the Blanks

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Slope from an equation

• The number in front of the x in the equation is the slope!

Multiple Choice

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

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

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

• $$-\frac{3}{2}$$  

• $$\frac{3}{2}$$  

• $$4$$  

• $$-4$$  

​Y-intercept is where the graph line touches the y-axis; the y-value when x is zero.

​

You can find y-intercept from graphs, tables, or equations.

​

b= y-intercept​

The number on the y-axis

y-intercept from a graph

The number directly across from the x-value when the x-value is 0.

y-intercept from a table

The "b" in slope intercept form. The constant.

y-intercept from an equation

​

​10

Multiple Choice

What is the y-intercept?

• 2
• 3
• 4
• -3

Multiple Choice

What is the y-intercept?

• 2
• 3
• 4
• -2

Multiple Choice

What is the y-intercept?

• 9
• 2
• 7
• 3

Multiple Choice

What is the y-intercept?

• -1/3
• -3
• -4
• 5

Multiple Choice

What is the y-intercept?

• 7
• 5/2
• 3
• -4

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2
• 3
• 5
• -5

Multiple Choice

What is the y-intercept of this graph?

• (0,1)
• (0,-2)
• (0,0)
• (0,3)

Multiple Choice

What is the y-intercept of the line y= -4x + 10?

• 10
• 4
• -4
• -10

Multiple Choice

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

• $$-2$$  

• $$2$$  

• $$4$$  

• $$-4$$  

Multiple Choice

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

• y-intercept
• below
• rate of change
• slope

Multiple Choice

In the equation y=mx+b, what does the "m" represent?

• slope
• y-intercept
• linear
• point-slope

Multiple Choice

How do you calculate slope using a graph?

• rise over run
• run over rise
• look at the y intercept
• look at the x intercept

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 a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

• y=-3
• y=3x
• y=-3x
• x=-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 type of slope?

• zero slope
• undefined
• negative
• positive