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sergejj [24]
3 years ago
6

A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicula

r to Main Street. What is an equation that represents the path?

Mathematics
2 answers:
adelina 88 [10]3 years ago
3 0

Answer:

y = -\frac{1}{2}x + 3

Step-by-step explanation:

To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.

First, find the slope of the main street:

Using two points on the main street, (2, 3) and (3, 5),

slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2

Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.

Thus, the slope of the path, m = -½.

The y-intercept of the path is the point at which the line of the path cuts across the y-axis.

The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.

Substitute m = -½, and b = 3 into y = mx + b.

✅The equation that represents the path would be:

y = -\frac{1}{2}x + 3

MArishka [77]3 years ago
3 0

Answer:

its y=1/2x+4 lol the other guy was 1 off

Step-by-step explanation:

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