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.
The slope of the line is (1/2).
The original equation is y=mx+b
m = slope
x = variable
b = y-intercept
Answer:
20cm or A
Step-by-step explanation:
pythagorean theorem
25^2=15^2+b^2
625=225+b^2
b^2=400
b=20
Answer:
978 in^2
Step-by-step explanation:
the area of the rectangle:
24in X 30in = 720 in^2
the area of the two similar triangles:
12 X 9 / 2 + 12 X 9 / 2 = 108 in^2
the area of the last triangle:
20 in X 15 in /2 = 150in^2
.
the total area is the sum of the areas:
720in^2 + 108in^2 + 150in^2 = 978in^2.
Answer:
Step-by-step explanation:
4x - 8 = 2x - 10
2x - 8 = -10
2x = -2
x = -1
y = 4(-1) - 8 = -4 -8 = -12
(-1, -12)
