Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4). Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.

The slope of both EF and GH are 2/3

The slope of both FG and EH are -3/2

You can see that these slopes are perpendicular, forming a rectangle

Step-by-step explanation:

To find slope use the slope formula: y1 - y2 / x1 - x2

so first:

8 - 2 / 3 - (-6) = 2/3

(-4) - 2 / (-2) - 7 = 2/3

Then:

8 - 2 / 3 - 7 = -3/2

2 - (-4) / (-6) - (-2) = -3/2

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|