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Mathematics 12 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (mathmate):

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.

OpenStudy (anonymous):

what do you mean

OpenStudy (mathmate):

Are you familiar with how to find the y-intercept of a given equation in slope-intercept form?

OpenStudy (anonymous):

not really

OpenStudy (mathmate):

An equation y=mx+b is in slope-intercept form, where m=slope and b=y-intercept. |dw:1357747417191:dw|

OpenStudy (mathmate):

@jayda ok so far?

OpenStudy (anonymous):

yes

OpenStudy (mathmate):

From the given graph, can you spot the y-intercept?

OpenStudy (anonymous):

would it be 1?

OpenStudy (mathmate):

no. Y-intercept is where the curve (line in this case) intersects the y-axis. Can you read it off?

OpenStudy (anonymous):

so the y intercept is where you have the curved line?

OpenStudy (mathmate):

|dw:1357748329385:dw| Can you figure out the y-intercept of the given graph?

OpenStudy (anonymous):

ohh . okay . yes

OpenStudy (mathmate):

can you do the rest now?

OpenStudy (mathmate):

What is the approximate slope and what is the intercept?

OpenStudy (anonymous):

isnt the intercept 10 though?

OpenStudy (anonymous):

@mathmate ?

OpenStudy (mathmate):

Right, y-intercept is 10. Did you find the slope?

OpenStudy (anonymous):

would it be 4?

OpenStudy (anonymous):

would the answer be D?

OpenStudy (mathmate):

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.

OpenStudy (anonymous):

thank you so much ! (:

OpenStudy (mathmate):

yw! :)

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