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.

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

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

l.jnl.j/n.m,lm,

step-by-step explanation: