1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
Answer: 41 and 139 degrees
Step-by-step explanation:
<u>Given</u>:
The given monomial expression is 
We need to simplify the given monomial expression.
<u>Simplification:</u>
Let us simplify the given expression.
Dividing the numbers 16 and 4, we get;

Let us apply the exponent rule
in the above expression.
Thus, we get;

Subtracting the numbers in the numerator of the above expression, we get;

Thus, the simplified expression is 
Answer:
The coordinates of point B are (5,-3)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to

In this problem
Point A is at (-5, -4) and point M is at (0, -3.5)

substitute in the formula

so
Solve for x_2

Solve for y_2

therefore
The coordinates of point B are (5,-3)