Topic 4 Review

Topic 4 Review

Linear Functions are functions in which:

• ​x and y both have exponents of 1

• ​x and y are NOT multiplied together

• ​x and y are NOT in denominators, exponents, and radicands

Multiple Choice

Is $$2x-3=y^2$$  a linear equation?

• YES

• NO

Multiple Choice

Is $$4x=2y+8$$  a linear equation?

• YES

• NO

Multiple Choice

Is $$5x-7y=2x-7$$  a linear equation?

• YES

• NO

​Standard Form

Multiple Choice

Which is NOT a condition on Standard Form?

• $$A\ge0$$  

• $$A\le0$$  

• $$A$$  and $$B$$  are not both

• $$A$$  , $$B$$  , and $$C$$  are integers with a greatest common factor of 1

​x- and y-intercepts

​An intercept is where the graph of an equation intersects with the x- and y-axis.

​

​An x-intercept occurs when y=0.

​

​An y-intercept occurs when x=0.

Multiple Choice

How could we write an x-intercept?

• $$\left(x,\ 0\right)$$  

• $$\left(0,\ x\right)$$  

Multiple Choice

How could we write an y-intercept?

• $$\left(0,\ y\right)$$  

• $$\left(y,\ 0\right)$$  

Multiple Choice

What is the x-intercept of $$2x-6y=-12$$  ?

• (0,-6)

• (-6, 0)

• (0, 6)

• (6,0)

Multiple Choice

What is the y-intercept of $$2x-6y=-12$$  ?

• (0,-2)

• (-2, 0)

• (0, 2)

• (2,0)

​Slope

​The ratio of the change in y-coordinates to the change in x-coordinates is known as slope.

​

​We can find the slope between two points by taking the difference of y-coordinates and divide that by the difference in x-coordinates.

Multiple Choice

What is the slope of the line passing through the points (-1,3) and (2,-2)?

• $$m=-\frac{3}{5}$$  

• $$m=1$$  

• $$m=-\frac{5}{3}$$  

• $$m=-5$$  

Multiple Choice

What is the slope of the line passing through the points (-2,0) and (1,5)?

• $$m=\frac{3}{5}$$  

• $$m=\frac{5}{3}$$  

• $$m=-5$$  

• $$m=-\frac{5}{3}$$  

​We can refer to slope as...

​RISE

_______________

​RUN

Fill in the Blanks

So if we were to have a line with NO RISE, what would the slope be?

m = _

Poll

Can we ever divide by zero?

• YES

• NO

Fill in the Blanks

So if we were to have a line with NO RUN, what would the slope be?

m = _

Multiple Choice

What type of line has a slope of zero?

• Vertical

• Horizontal

​What type of equation is in the form...

y=kx

Multiple Choice

Is $$y=3x$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$2y=5x$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$2y=x$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$4x+2y=6$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$y=x-4$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$y=-\frac{4}{5}x$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$y=2$$  a direct variation?

• YES

• NO

Multiple Choice

Is $$y=-x$$  a direct variation?

• YES

• NO

​If an equation is in the form y=kx...

​Then the equation is a proportional relationship

​

​Direct variations are proportional

Poll

What type of function has the FIRST differences in y constant?

• Linear

• Quadratic

• Exponential

Poll

What type of function has the SECOND differences in y constant?

• Linear

• Quadratic

• Exponential

Poll

What type of function has some sort of multiplication between the change in y values?

• Linear

• Quadratic

• Exponential