# What is the equation of the line that passes through the point ( 8 , − 4 ) (8,−4) and has a slope of 1 2 2 1 ?

3 answers

###### Question:

What is the equation of the line that passes through the point

(

8

,

−

4

)

(8,−4) and has a slope of

1

2

2

1

?

(

8

,

−

4

)

(8,−4) and has a slope of

1

2

2

1

?

## Answers

as the line is parallel we do not change x-4y what we change is the result x = 8 & y = -4 so the result is 8 - 4 (-4) = 24 so the equation is 24

The Answer is: y = 1/4x + 6

Step-by-step explanation:

Given point (8, 8)

Given equation: 4x + y = 5

Solve for y:

y = -4x + 5

The slope is -4. The slope of a perpendicular line is the negative inverse, which would be 1/4.

Use the point slope form:

y - 8 = 1/4(x - 8)

Solve for y:

y - 8 = 1/4x - 8/4

y - 8 = 1/4x - 2

y = 1/4x - 2 + 8

y = 1/4x + 6

Y=mx+c

m = 0

c = -1

y = -1

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