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3 years ago

Determine the slope of a line perpendicular to the line with equation 6x-4y= 30

2 answers:

5 0

Start by putting it in slope intercept form.
6x - 4y = 30
6x - 30 = 4y
(6/4)x - 30/4 = y
simplify
(3/2)x - 15/2 = y

A perpendicular line will have a reversed slope. Take the negative reciprocal (flip it over, make negative).
slope of perpendicular line: -2/3

UNO [17]3 years ago

3 0

6x - 4y = 30
-4y = -6x + 30
y = 3/2x - 15/2....slope here is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -2/3 (see how I flipped 3/2 making it 2/3...and then changed the sign, making it -2/3)

answer : perpendicular line will have a slope of -2/3.

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Step-by-step explanation:

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For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

$(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)$

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$m=\frac{-2-(-3)}{3-0}=\frac{1}{3}$

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