Question

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1, 6) and

Answer 1

Answer:

The equation is:

$y = -x + 7$

Step-by-step explanation:

Given the endpoints of a side of a rectangle

• A(1, 6)

• B(6, 1)

Finding the slope

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

$\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)$

$m=\frac{1-6}{6-1}$

$m=-1$

Using the point-slope form of a line equation

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

substituting the values m = -1 and the point (1, 6)

$y - 6 = -1 (x - 1)$

$y - 6 = -x + 1$

$y = -x + 1 + 6$

$y = -x + 7$

Thus, the equation is:

$y = -x + 7$