What is the equation of a line perpendicular to y = 2x - 6 that passes through (5, 4)

y=(-1/2)x-6.5

Step-by-step explanation:

y=2x-6

the perpendicular to this will have the opposite reciprocal slope.

The new equation will be

y=(-1/2)x-b

To find the y-intercept of the equation, we should substitute the point into the equation (5,4)

y=(-1/2)x-b

4=(-1/2)×5-b

4=-2.5-b

b=-6.5

so the equation will be y=(-1/2)x-6.5

(c, 0) i might be wrong so don't put full faith on my answer

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step-by-step explanation: