Question

Line K has the equation 9x-4y=-5x4.

Answer 1

Answer:   y = (9/4)x - 2

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Explanation:

Line K is 9x-4y=-5*4 which is the same as 9x-4y=-20

Rule: Anything parallel to Ax+By = C is of the form Ax+By = D.

The equation 9x-4y=-20 has A = 9, B = -4 and C = -20.

That means Ax+By = D becomes 9x-4y = D.

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Plug in the coordinates (x,y) = (4,7) and compute the value of D.

9x-4y = D

D = 9x-4y

D = 9(4)-4(7)

D = 36 - 28

D = 8

So 9x-4y = D becomes 9x-4y = 8

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The last step is to solve for y to get the equation in y = mx+b form.

9x-4y = 8

-4y = 8-9x

-4y = -9x+8

y = (-9x+8)/(-4)

y = (-9x)/(-4) + 8/(-4)

y = (9/4)x - 2    is the slope-intercept form of line L

The equation is in y = mx+b form where,

m = 9/4 = slope

b = -2 = y intercept