Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7.
y = 4x + 10
y = one fourthx + 5 halves
y = -4x - 6
y = -one fourthx + 3 halves
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OpenStudy (anonymous):
i need help
OpenStudy (anonymous):
Parallel means they'll have the same slope
the slope you need in your new equation needs to be 4
to find an equation with that point in it use this equation
\[y-y_1=m(x-x_1)\]
where
m=slope
and
\[(x_1,y_1)=(-2,2)\]
OpenStudy (anonymous):
Can you plug those in?
OpenStudy (anonymous):
Are you there? I'm trying to help you...
OpenStudy (anonymous):
sorry im back
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OpenStudy (anonymous):
Okay. substitute those in the given equation and I can help you finish up the problem!
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so (-1,1)?
OpenStudy (anonymous):
What?
OpenStudy (anonymous):
I only asked you to put the information we new into the equation and you gave me a point.
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OpenStudy (anonymous):
\[y-(2)=(4)(x-(-2))=\]\[y-2=4(x+2)\]
Use distributive property
\[y-2=4x+8\]
Get y itself by adding 2 on both sides
\[y=4x+10\]