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Helga [31]
3 years ago
12

A walking path across a park is represented by the equation y = -4x + 10. A new path will be built perpendicular to this path. T

he paths will intersect at the point (4, -6). Identify the equation that represents the new path.

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0

Answer:  y=\frac{1}{4}x-7

Step-by-step explanation:

The perpendicular slope of the line(m) = -\frac{1}{m}:

  • m = -4 ⇒ -\frac{1}{m} =-\frac{1}{(-4)} =\frac{1}{4}

The function formula is y = mx + b, where the y-intercept(b) is found by substituting in the values of a point on the line ⇒ (4, -6):

y=\frac{1}{4}x+b\\-6=\frac{1}{4}(4)+b\\-6=1+b\\b=-6-1=-7

<u>So the perpendicular equation is </u>y=\frac{1}{4}x-7<u>.</u>

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