Question

Parallelogram ABCD is shown on the coordinate grid. Which

Answer 1

Answer:

$(-1, 3)$

Step-by-step explanation:

Given

See attachment for ABCD

Options:

$(-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)$

From the attachment:

$A = (-6,1)$

$B = (4,5)$

Required

Coordinates on AB

First, calculate the slope of AB

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{5-1}{4--6}$

$m = \frac{4}{10}$

$m = 0.4$

Next,, calculate the equation as:

$y = m(x - x_1) + y_1$

$y = 0.4(x - -6) + 1$

$y = 0.4(x +6) + 1$

$y = 0.4x +2.4 + 1$

$y = 0.4x +3.4$

Taking the options one at a time: (-1, 3)

$x = -1\ \ y =3$

Test these values in the equation

$y = 0.4 * -1 + 3.4$

$y = -0.4 + 3.4$

$y =3$

Hence, this point lie on AB