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Keith_Richards [23]
2 years ago
11

The endpoints of a side of rectangle ANCD in the coordinate plane are at A(3,5) and B(5,1). Find the equation of the kind that c

ontains the given segment. The line segment is AB.
The equation is y=
PLEASE HELP VERY URGENT :(

Mathematics
1 answer:
lbvjy [14]2 years ago
7 0

Answer:

The equation of the line segment AB is:

y = -2x+11

The graph of the line segment AB is also attached.

Step-by-step explanation:

Given the points

  • A(3,5)
  • B(5,1)

Determining the slope between A(3,5) and B(5,1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(3,\:5\right),\:\left(x_2,\:y_2\right)=\left(5,\:1\right)

m=\frac{1-5}{5-3}

m=-2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (3, 5) in the equation

y-y_1=m\left(x-x_1\right)

y - 5 = -2(x-3)

y-5 = -2x+6

y = -2x+6+5

y = -2x+11

Therefore, the equation of the line segment AB is:

y = -2x+11

The graph of the line segment AB is also attached.

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