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A walking path across a park is represented by the equation y = –2x + 5. A new path will be built perpendicular to this path. The paths will intersect at the point (–2, 9). Identify the equation that represents the new path.

Please help A walking path across a park is represented by the equation y 2x 5 A new path will be built perpendicular to this path The paths will intersect at t class=

Respuesta :

backseatdog

A line perpendicular to y = -2x + 5 will have an equation in the form of:

y = (1/2)x + b

Since the graph must intersect (-2,9), we plug in this point to solve for b.

9 = (1/2)*(-2) + b

9 = -1 + b

10 = b

So the equation is:

y = (1/2)x + 10

The answer is A.

khuranashilpa76

The new path perpendicular to the equation y = –2x + 5 intersecting at the point ('2,9) is option A y=-1/2+10

How to use equation of a straight line?

The intersecting point is given as (-2,9)

In the equation y= -2x +5

y = (1/2)x + C ( using equation of straight ine)

Since the graph must intersect (-2,9), we use the value this point to solve for c.

⇒9 = (1/2)*(-2) + c

⇒9 = -1 +c

⇒C=10

∴ the equation is:

              ⇒ y = (1/2)x + 10

The answer will be option A which is a perpendicular line to  y = –2x + 5.

Learn more about equation of a straight line here: brainly.brainly.com/question/20898425

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