Question

use the figure above square abcd to answer the following what is the slope m of ab and bc ? what is point d to make this square?

Answer 1

Slope of line AB = (3/2) OR 1.5

Slope of line BC = (-2/3)

Point D = (0, 6)

Step-by-step explanation

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

For line AB, we will use points A and B to calculate the slope.

(x₁, y₁) and (x₂, y₂) are (6, 2) and (2, -4)

`\text{Slope = }(-4-2)/(2-6)=(-6)/(-4)=(3)/(2)=1.5`

For line BC, we will use points B and C to calcuate the slope.

(x₁, y₁) and (x₂, y₂) are (2, -4) and (-4, 0)

`\text{Slope = }(0-(-4))/(-4-2)=(0+4)/(-6)=(4)/(-6)=-(2)/(3)`

So, for the next part, we need to pick a point D that will make this structure a square

This point D, from point C has to spread 6 units over the y-axis and 4 units over the x-axis.

This leads us to

(-4 + 4, 0 + 6) = (0, 6)

Point D = (0, 6)

Hope this Helps!!!