The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
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:
If you are using slope intercept it is incorrect
Step-by-step explanation:
For the first part y is 2 so using y=Mx+b it’s 2=-6-5 which is not correct
Answer:
D: 5 : 8 and 20 : 32
Step-by-step explanation:
A is incorrect because 3 x 1.33 = 4 and 4 x 1.25 = 5.
B is incorrect because 10 x 1.6 = 16 and 12 x 1.5 = 18.
C is incorrect because 7 x 1.428 = 10 and 10 x 1.4 = 14.
D is correct because 5 x 4 = 20 and 8 x 4 = 32.
another way of solving the ratio answers is by putting them in a fraction 5/8 = .625 and also does 20/32 = .625.....
Easy right!?
Hope I Helped!
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