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belka [17]
2 years ago
8

What is an equation in point-slope form of the line that passes through the point (4, -1) and has a slope of 6?

Mathematics
1 answer:
RSB [31]2 years ago
7 0

Answer:

slope(m)=change in y/change in x

6=y-(-1)/x-4

6=y+1/x-4

6(x-4)=y+1

6x-24=y+1

6x-24-1=y

6x-25=y

hence this is the equation

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EastWind [94]
Let 
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y = measure of angle BRE

We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say

y+y = 90
2y = 90
2y/2 = 90/2
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So angle BRE is 45 degrees. Note how 45+45 = 90. 

We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees

x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135

Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees

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