Find the equation of the line that has a slope of 1/4 and passes through (8, -3)
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OpenStudy (gorv):
use
y-y1=slope(x-x1)
and (x1,y1)=(8,-3)
implies x1=8 and y1=-3
OpenStudy (anonymous):
im still lost so what would the answer be?
OpenStudy (anonymous):
??
OpenStudy (whpalmer4):
Use the formula for a line with known slope, \(m\), passing through known point \((x_0,y_0)\):
\[y-y_0 = m(x-x_0)\]
You know \(m = \frac{1}{4}\) and \((x_0,y_0)\) is \((8,-3)\)
Plug in the values to get your line equation. Be careful about subtracting negative numbers...
OpenStudy (gorv):
y+3=(1/4)*(x-8)
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OpenStudy (anonymous):
\[y+3=\frac{ 1 }{ 4}(x-8)\]
OpenStudy (gorv):
yes
OpenStudy (anonymous):
thanks
OpenStudy (whpalmer4):
Might want to rearrange it into slope-intercept form: \(y = mx + b\) but you do have a valid equation for that line, as you can see from the plot here:
OpenStudy (gorv):
say thanks to @whpalmer4 also
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OpenStudy (whpalmer4):
I figured it was a thanks to the group :-)
OpenStudy (anonymous):
it was for both of you guys :)
OpenStudy (whpalmer4):
Happy to be of some help! But now it's time to hit the sack for me...