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sammietaygreen
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@jim_thompson5910
jim_thompson5910
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What is the slope of the given line?
sammietaygreen
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Sorry, huh?
jim_thompson5910
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The given line, can you tell me what the slope is of it
jim_thompson5910
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What is the slope of y + 2 = 1/3(x - 5)
sammietaygreen
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one sec let me see
jim_thompson5910
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If you're not sure, the slope of
y - y1 = m(x - x1)
is m
ParthKohli
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Another alternative: The slope of \(y = mx + b\) is \(m\).
sammietaygreen
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so would it be 1/3?
skullpatrol
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In the slope-intercept form: y = mx + b you should know the slope of the line is the coefficient m of the x term, right?
jim_thompson5910
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yep, the slope is 1/3
The slope of ANY perpendicular line is -3/1 (flip the fraction and flip the sign)
jim_thompson5910
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-3/1 reduces to -3, so that means that the answer is either choice A or B
this is because choice A and B have slopes of -3
skullpatrol
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Where flip the fraction means find the reciprocal and flip the sign means use the opposite sign.
sammietaygreen
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yes! I remembered that!! Alright how do we know between a and b though?
jim_thompson5910
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Now use this to find the value of b in y = mx+b
y = mx+b
y = -3x + b .. plug in m = -3 (the perpendicular slope)
3 = -3(-4) + b ... plug in x = -4 and y = 3
3 = 12 + b
Keep going to solve for b
sammietaygreen
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b = 4?
jim_thompson5910
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3 = 12 + b
3 - 12 = 12 + b - 12
-9 = b
b = -9
jim_thompson5910
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not sure how you got b = 4
jim_thompson5910
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y = mx+b
y = -3x + b .. plug in m = -3
y = -3x - 9 ... plug in b = -9
So that's your perpendicular equation
sammietaygreen
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woah! haha I have no idea either...is it b?
sammietaygreen
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yeah, that's what I got too. thanks!
jim_thompson5910
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ok great, just a silly math error then I guess