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hram777 [196]
2 years ago
9

write the slope-intercept form of the equation of the line passing through the point (-2,-5) and perpendicular to the line y= 2/

3x - 1
Mathematics
1 answer:
Vlad [161]2 years ago
4 0
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the y-intercept of the line that is perpendicular to the given one, and that passes through the given point.

The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                     Substitute the values of the given point and slope
-5=-3/2(-2)+b             Combine like terms
-5=3+b                       Subtract 3 in both sides to isolate b
-8=b

The equation of the line perpendicular to y=2/3x-1 and that passes through the point (-2,-5) is y=-3/2-8.
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Answer:

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Step-by-step explanation:

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(x, y, z) = (-1, -4, -5)

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4 0
2 years ago
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The gravitational potential energy of an object is
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h=p/(mg)

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3 years ago
How to solve this task 4×-2+1=3×+5
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Point M is the midpoint of AB . AM=3x+3, and AB=8x−6.<br><br> What is the length of AM?
MissTica
AM=3x+3
AB=8x-6
AB=2AM
AM=AB/2
AM=(8x-6)/2
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AM=3x+3
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