Function Representations & Graphs Warmup

Remember y = mx + b

Which graph best represents a line with a slope (m) of 2 and a y-intercept (b) of -3 ?

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Answer explanation

You better have taken a glance at Mr. Slope guy to see the direction a positive slope (m) goes! Then find the y-intercept on the y-axis.

Slope = rise/run

Did you notice that the number labels on the x and y axis' went by 2's, but the grid marks actually went by 1's?

Remember y = mx + b

Which graph best represents a line with a slope (m) of -2 and a y-intercept (b) of 3 ?

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Answer explanation

You better have taken a glance at Mr. Slope guy to see the direction a positive slope (m) goes! Then find the y-intercept on the y-axis.

Slope = rise/run

Which equation correctly represents the relationship between x and y?

• y = 2x + 4

• y = - 4x + 2

• y = - 2x + 4

• y = 4x + 2

Answer explanation

y = mx + b m = slope = rise/run b = y-int

You did look at Mr. Slope Guy...right? This is clearly a line with a negative slope...so two of the equations are eliminated right away.

Which equation correctly represents the relationship between x and y?

• y = - 2x - 3

• y = 2x - 3

• y = - 2x + 3

• y = 2x + 3

Answer explanation

y = mx + b m = slope = rise/run b = y-int

You did look at Mr. Slope Guy...right? This is clearly a line with a negative slope...so two of the equations are eliminated right away.

Trey has a plant.  He measures its growth once a week.  Which equation represents the height of the plant in inches, h, based on the number of weeks, w?

Hey...look closely at the h (y) axis...it goes by 2's. The w (x) axis goes by 1's. Crazy. The slope of this thing is m = rise/run = 3/1 = 3

• h = 2w + 3

• h = 3w + 3

Answer explanation

Ok...this is a really weird one cause of the axis labels and units. It's really hard to count off rise over run when the rise goes by 2's and the run goes by 1's.

Also...they through us another curve by using w for the independent variable instead of x, and h for the dependent variable instead of y. You can get this though!

I'm giving you the same question again...but with answers jumbled up. Look closely at the y intercept (I guess h intercept) and slope.

Trey has a plant.  He measures its growth once a week.  Which equation represents the height of the plant in inches, h, based on the number of weeks, w?

Hey...look closely at the h (y) axis...it goes by 2's. The w (x) axis goes by 1's. Crazy. The slope of this thing is m = rise/run = 3/1 = 3

• h = 2w + 3

• h = 3w + 3

Answer explanation

Ok...this is a really weird one cause of the axis labels and units. It's really hard to count off rise over run when the rise goes by 2's and the run goes by 1's.

Also...they through us another curve by using w for the independent variable instead of x, and h for the dependent variable instead of y. You can get this though!

That's enough of this one...either ya got it or ya don't. But ya do....right???? :-)

Select the correct answers:

Identify three points that would be on the line

y = - x + 5

Hint...the slope m = rise/run = -1/1 = -1 (a hidden #)

Answer explanation

Ok...the term -x is the same as -1x ... the slope is negative. Tell me you looked at Mr. Slope dude...his right eyebrow.

Your y-intercept is b=5 ... so mark that point first...then use the slope to find the others.

Select the correct answers:

Identify three points that would be on the line

y = x - 5

Hint...the slope m = rise/run = 1/1 = 1 (a hidden #)

Answer explanation

Ok...the term x is the same as 1x ... the slope is negative. Tell me you looked at Mr. Slope dude...his left eyebrow.

Your y-intercept is b= - 5 ... so mark that point first...then use the slope to find the others.

Which could be the table of values that was used to graph the function of x shown?

Hint...use the process of elimination. Start with the y-intercept of this graph...b = -3 ... at coordinate (0, -3). You can eliminate at least one of the tables. Then check the other points from the tables...if you find one mismatch...stop looking at that table.

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Answer explanation

What can I say...match up the points. Remember that the table entries each correspond to the coordinates of a point...(x,y).

Ok...try again....

Which could be the table of values that was used to graph the function of x shown?

Hint...use the process of elimination. Start with the y-intercept of this graph...b = -3 ... at coordinate (0, -3). You can eliminate at least one of the tables. Then check the other points from the tables...if you find one mismatch...stop looking at that table.

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Answer explanation

What can I say...match up the points. Remember that the table entries each correspond to the coordinates of a point...(x,y).

Best wishes...and Happy Thanksgiving (if you are doing this right before Thanksgiving...when I assigned it).