Choose the correct slope of the line shown on the graph below.
Please Explain
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OpenStudy (anonymous):
OpenStudy (amistre64):
a simple method for the slope of a line that has been graphed like this is just to divide the y intercept by the x intercept
OpenStudy (amistre64):
an since the slope goes up hill from left to right; just drop the negative
OpenStudy (anonymous):
i know this but i dont have any corridnates just this question and picture and these options three halves
two thirds
−three halves
−two thirds
OpenStudy (amistre64):
the grap gives you coords .....
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OpenStudy (anonymous):
its just line though?
OpenStudy (amistre64):
yes; where does the line cross the y axis?
OpenStudy (anonymous):
-5
OpenStudy (amistre64):
good;
-5 divided by; where does the line cross the x axis?
OpenStudy (anonymous):
look like 7?
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OpenStudy (amistre64):
looks more like 7.5 to me
OpenStudy (amistre64):
-5/7.5 = ??
and since its going uphill from left to right, ignore the negative
OpenStudy (anonymous):
1.5?
OpenStudy (amistre64):
youre not adept at dividing are you ....
OpenStudy (anonymous):
what?
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OpenStudy (anonymous):
:D
OpenStudy (amistre64):
5/7.5 is not 1.5
OpenStudy (amistre64):
there are other ways of course to determine the slope from the graph ....
OpenStudy (anonymous):
i could use the formula?
OpenStudy (amistre64):
find 2 consequtive places that the line hits a "corner"
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OpenStudy (anonymous):
kk
OpenStudy (amistre64):
count how many boxes you ahve to move to get form one corner to the other. up/over
OpenStudy (amistre64):
i see it hitting corners at:
(0,-5) and (3,-3)
OpenStudy (anonymous):
wait i think i can get answer give me a sec
OpenStudy (id21):
Take one point on line
I choose x=3, y=-3
From line equation \[y=kx+b\]
b is y point, where line crosses x axis, in this example b=-5
so put all in equation \[-3=3k-5\\3k=2\\k=2/3\]
So slope is 2/3
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