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