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
