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Mathematics 7 Online
OpenStudy (anonymous):

@phi @IMStuck

OpenStudy (anonymous):

OpenStudy (phi):

Can you rule out any of the choices?

OpenStudy (phi):

the line part of the graph starts at x=1. one of the choices does not show this, so must be wrong

OpenStudy (anonymous):

@phi d doesn't show this...

OpenStudy (anonymous):

that is if we are looking at the 2nd equation...

OpenStudy (phi):

yes, so cross D off the list. next, we need the equation of the line can you find its slope by looking at the graph?

OpenStudy (anonymous):

no

OpenStudy (phi):

put your finger on a point on the line. count over then up to get to a new point on the line. How far up (how many "boxes") did you move up? how many over did you go? write down change in y (how far up) divided by how far over (change in x) can you do that ?

OpenStudy (anonymous):

1/5

OpenStudy (phi):

like this from the first purple circle to the second, how far up to you go? how far over?

OpenStudy (anonymous):

oh that..1/1

OpenStudy (phi):

yes, which simplifies to 1 the slope is 1 the equation of a line is y = mx + b where m is the slope and b is the y-intercept so we know m is 1 (we found the slope to be 1) y = 1x + b but we usually leave off the 1 (1*x is x) y = x+b cross off any choice that does not have a slope of 1

OpenStudy (anonymous):

a?

OpenStudy (phi):

yes. now it's 50/50 for getting the correct answer. either b or c but to decide which, we have to look at the first line we have either y=x^3 or y=x^2 I would look at x=-2 and figure out what (-2)^3 is and what (-2)^2 squared is. then look at the graph to see which number is plotted. can you do that ?

OpenStudy (anonymous):

-8, 4 , not found on graph

OpenStudy (phi):

what about (-2)^2 ?

OpenStudy (anonymous):

yes

OpenStudy (phi):

the (-2)^3 is -8 that means y=x^3 at x=-2 gives the point (-2,-8) on the other hand y= x^2 at x=-2 gives the point (-2, 4) this one is the graph that is plotted

OpenStudy (anonymous):

right, what would be my final answer?

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