Question

1. Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provided below. You may also add additional rows if needed.
Given: Parallelogram ABCD
Prove: ∠A and ∠B are supplementary.
∠B and ∠C are supplementary.

Answer 1

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

Slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4