Write the equation of the line, in point-slope form, that contains the points (-2, -2) and (2, 2).
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OpenStudy (anonymous):
@Bookworm14
OpenStudy (anonymous):
did you find the slope?
OpenStudy (anonymous):
0
OpenStudy (anonymous):
lol no
OpenStudy (anonymous):
lol yeah
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OpenStudy (anonymous):
it is \((-2,-2),(2,2)\) right ?
OpenStudy (anonymous):
Mhm
OpenStudy (anonymous):
from -2 to 2 is right 4, and from -2 to 2 is up four
right four, up four slope is \(\frac{4}{4}=0\)
OpenStudy (anonymous):
actually it is \[\frac{4}{4}=1\] not zero
OpenStudy (anonymous):
also notice that in both coordinates the x and the y are the same
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OpenStudy (anonymous):
And?
OpenStudy (anonymous):
this tells you the equation is \(y=x\)
OpenStudy (anonymous):
Okay, I still need the entire equation.
OpenStudy (bookworm14):
to find slope you must use the formula \[m = \frac{ y2-y1 }{x2-x1 }\]
so for this it would be 2- (-2) / 2- (-2)
equaling 4/4 or 1
point-slope is in the form of
y-y1 = m(x-x1)
so for this just substitute your points
y- (-2)= 1 (x-x1)
now distribute on the "x" side
y+2=1x+2
subtract 2 from both sides
y=1x or just y=x