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What is the slope of the given line?
The given line, can you tell me what the slope is of it
What is the slope of y + 2 = 1/3(x - 5)
one sec let me see
If you're not sure, the slope of y - y1 = m(x - x1) is m
Another alternative: The slope of \(y = mx + b\) is \(m\).
so would it be 1/3?
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?
yep, the slope is 1/3 The slope of ANY perpendicular line is -3/1 (flip the fraction and flip the sign)
-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
Where flip the fraction means find the reciprocal and flip the sign means use the opposite sign.
yes! I remembered that!! Alright how do we know between a and b though?
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
b = 4?
3 = 12 + b 3 - 12 = 12 + b - 12 -9 = b b = -9
not sure how you got b = 4
y = mx+b y = -3x + b .. plug in m = -3 y = -3x - 9 ... plug in b = -9 So that's your perpendicular equation
woah! haha I have no idea either...is it b?
yeah, that's what I got too. thanks!
ok great, just a silly math error then I guess