jayda
The scatter plot below shows the weights in ounces of several kittens at various ages. What is the best equation of the trend line through these points?
A.
y = 10x
B.
y = 4x
C. y = 1/4x + 10
y = 4x + 10
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jayda
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mathmate
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This is how you proceed for slope-intercept equations.
From the graph, read off the y-intercept (=10).
Read off the slope (about 15).
Check the 4 options to see which one satisfies both conditions.
If you can use help reading off the slope and intercept, please post.
jayda
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what do you mean
mathmate
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Are you familiar with how to find the y-intercept of a given equation in slope-intercept form?
jayda
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not really
mathmate
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An equation y=mx+b is in slope-intercept form, where m=slope and b=y-intercept.
|dw:1357747417191:dw|
mathmate
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@jayda ok so far?
jayda
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yes
mathmate
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From the given graph, can you spot the y-intercept?
jayda
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would it be 1?
mathmate
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no. Y-intercept is where the curve (line in this case) intersects the y-axis. Can you read it off?
jayda
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so the y intercept is where you have the curved line?
mathmate
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|dw:1357748329385:dw|
Can you figure out the y-intercept of the given graph?
jayda
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ohh . okay . yes
mathmate
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can you do the rest now?
mathmate
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What is the approximate slope and what is the intercept?
jayda
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isnt the intercept 10 though?
jayda
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@mathmate ?
mathmate
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Right, y-intercept is 10.
Did you find the slope?
jayda
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would it be 4?
jayda
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would the answer be D?
mathmate
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Your answer D is correct.
You have eliminated A and B because the y-intercepts there are zero. Good job.
Between C and D, the difference is the slope. The graph shows that y increases from 10 to 14 between 0 and 1. This implies a slope of (14-10)/(1-0)=4.
Therefore answer D is correct.
jayda
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thank you so much ! (:
mathmate
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yw! :)