Write the slope-intercept inequality for the graph below. If necessary, use <= for or >= for
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OpenStudy (calculusxy):
Where is the graph?
OpenStudy (anonymous):
OpenStudy (anonymous):
y-y1<m(x-x1) ?
OpenStudy (calculusxy):
the equation is y=mx+b.
OpenStudy (calculusxy):
so just substitute the letters for the numbers
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OpenStudy (anonymous):
0=4(-1)+b?
OpenStudy (anonymous):
0=-4+b?
OpenStudy (anonymous):
b=4
OpenStudy (anonymous):
Okay well first off do you know how to find slope?
OpenStudy (anonymous):
slope 4
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OpenStudy (anonymous):
correct. do you know the point-slope form?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
okay so this is where its probably going to be important to know that formula. its: y-y1=m(x-x1)
OpenStudy (anonymous):
so basically now you plug and chug
OpenStudy (anonymous):
so pick a point, im going to pick (0,2) and then put it into the equation. you then get: y-2=4(x-0). now you solve for y.
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OpenStudy (anonymous):
y+2=4(x+1)
OpenStudy (anonymous):
that works!
OpenStudy (anonymous):
solve for y now :)
OpenStudy (anonymous):
y=4x+2
OpenStudy (anonymous):
correct! so now you have your equation, all you need to do is just figure out if you need a less than or equal to, or, a greater than or equal to symbol
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OpenStudy (anonymous):
y<4x+2?
OpenStudy (anonymous):
<=
OpenStudy (anonymous):
y<=4x+2?
OpenStudy (anonymous):
give me one second to clarify
OpenStudy (anonymous):
okay yes i agree! :) do you understand how i got the equation?