HELP PLEASE!

While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and the hole is located at (9,8). The point where the ball hits the wall is (7,0). Write an equation for the path of the ball and then determine if you will make your putt.

Answer:

Step 1:

Hit=9,8

Ball=5,4

R=7,0(This will be the hit point)

Step 2:

(Ball)B'=7+(7-5)4=(9,4)

BR: y-4=(0-4)/(7-5)(x-5)→→→→→→→→→→→→y=-2x+14

RB': y-4=(4-0)/(9-7)(x-9)→→→→→→→→→→→→y=2x-14

The ball will not fell into the hole by it's path.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

We will bet an absolute graph here of the path of the ball.

Starting point is where the ball is located is (5, 4).

The ball hits the wall at (7, 0)

Let's find the equation of the line through these points.

It is of the form y  mx + c, where m is slope and c is y intercept .

m = (0 - 4) / (7 - 5) = -2

⇒ y = -2x + c

Substitute (7, 0) in the above equation,

0 = (-2 × 7) + c

⇒ c = 14

The equation of the line is y = -2x + 14.

Since the graph is absolute, the return path of the ball from the wall must have same slope with opposite sign since the line is upwards.

Equation of the line is of the form,

y = 2x + d

Substitute (7, 0) in the above equation,

0 = (2 × 7) + d

⇒d = -14

Equation is y = 2x - 14

Substitute (9, 8) in the equation to check whether the ball will make the putt.

2x - 14 = (2 × 9) - 14 = 18 - 14 = 4 ≠ 8

Hence the ball does not fall into the hole.

To learn more about Slope, click on the link :

https://brainly.com/question/3605446

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