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The line whose slope is 4 and intersects the line 2x - 4y = 8 at x = 6 has the equation: y = 4x + 6 y = 4x + 1 y = 4x - 23

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6 votes
y=4x-23. hope it helps. God bless you!
User Elio Fernandes
by
8.3k points
7 votes

Answer:

y = 4x + 2

Explanation:

Thinking process:

Let the equations be:

slope, m = 4

the line 2x - 4y = 8

has the intersection at x = 6

Let x = 6 be substituted into the equation 2x - 4y = 8

This gives:

2(6) - 4y = 8

12 - 4y = 8

-4y = -4

y = 1

the point is therefore ( 6, 1)

the equation of a straight line is given by the following:


(y-6)/(x-1) =4\\y - 6 = 4(x-1)\\y - 6 = 4x-4\\y = 4x+2

User Srivathsa
by
8.6k points

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