Question

Parallelogram ABCD is shown on the coordinate grid. Which

coordinates belong to a point that appears to lie on segment AB?

Answer 1

`(-1, 3)`

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 = (y_2 - y_1)/(x_2 - x_1)`

`m = (5-1)/(4--6)`

`m = (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