Week #3 Day 2: Slopes of Linear Functions

Slope of Linear Functions

Unit 2 Part 2​

Week #3: Tuesday (8/30)

Open Ended

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Multiple Choice

The standard form of a Linear Function is:

• $$a.\ \ \ y\ =\ mx\ +\ b$$  

• $$b.\ \ \ \ Ax\ +\ By\ =\ C$$  

• $$c.\ \ \ y\ =\ \frac{y_2\ -\ y_1}{x_2\ -\ x_1}$$  

• $$d.\ \ \ \ y\ =\ A\ +\ B\ +\ C$$  

Multiple Choice

What is Slope-Intercept Form of linear equations?

• Ax+By=C

• y=mx+b

• y-y1=m(x-x1)

• m = (y2-y1)/(x2-x1)

Multiple Choice

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

• y-intercept
• x intercept
• nothing
• slope

Multiple Choice

What is Point-Slope Form of linear equations?

• Ax+By=C

• y = mx+b

• y-y1=m(x-x1)

• m = (y2-y1)/(x2-x1)

Multiple Choice

rise/run; rate of change; Change in y/Change in x

• slope

• x-intercept

• y-intercept

• undefined

Multiple Choice

If two distinct lines have the same slope they are ____________.

• Perpendicular

• Skew

• Intersecting

• Parallel

Multiple Choice

If two distinct lines have slopes whose product equals -1, they are ____________.

• Perpendicular

• Skew

• Intersecting

• Parallel

Multiple Choice

What is the slope of a line that is perpendicular to the function $$y=\frac{4}{3}x+10$$  

• $$-\frac{3}{4}$$  

• $$\frac{3}{4}$$  

• $$\frac{4}{3}$$  

• $$-\frac{4}{3}$$  

Multiple Choice

If two lines are perpendicular, their slopes are _____________.

• the same

• opposite reciprocals

• just opposites

• just reciprocals

Multiple Choice

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

• Parallel
• Perpendicular
• Neither

Multiple Choice

a line that slants up from left to right

• no slope

• zero slope

• postiive slope

• negative slope

Multiple Choice

a line that slants down from left to right

• zero or no slope

• negative slope

• postivite slope

• undefined slope

Multiple Choice

What is the slope in the equation? 

$$y-2x=4$$  

• 2

• -2

• 4

• -4

Multiple Choice

To find slope when given a line on a graph, use:

• $$a.\ \ \ m\ =\frac{run}{rise}$$  

• $$b.\ \ \ \ m\ =\frac{rise}{run}$$  

• $$c.\ \ rise\ =\frac{m}{run}$$  

• d. The slope cannot be determined from just the graph of a line.

Multiple Choice

What is the rate of change for the graph?

• m = 1/2
• m = 2
• m = -1/2
• m = -2

Multiple Choice

Which equation represents the graph?

• x = 2
• y = 2
• y = 2x
• y = undefined

Fill in the Blank

The slope a vertical line is.....

Multiple Choice

True or False: y=4 is a vertical line

• True

• False

Fill in the Blank

The slope of a horizontal line is....

Multiple Choice

Graph

Draw

Graph the line $$y=2x+3$$  

Multiple Choice

Write the equation of the line.

• y=(3/5)x+1
• y=(3/5)x-1
• y=(5/3)x+1
• y=(3/5)x+1

Multiple Choice

Which equation represents the following graph?

• y = 3x + 2
• y = -2x + 3
• y = 2x + 3
• y = -3x + 2

Multiple Choice

Which is the graph of y= -x + 2?

• A
• B
• C
• D