- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

Next, plug either one of the points into the x and y coordinates to solve for b as such:

<u>Our final equation is
, or the third option.</u>
Answer:
there is a 64% chance that the student got both problems wrong
a 32% chance that they got only 1 correct
and a 4% chance that they got both correct
Step-by-step explanation:
There are 25 total possible combinations of answers, with 8 possible combinations where the student would get 1 answer right, and 1 combination where the student would get both answers correct.



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Answer:
7
Step-by-step explanation:
https://www.numerade.com/questions/reasoning-in-exercises-35-and-36-you-are-melting-a-rectangular-block-of-wax-to-make-candles-how-ma-2/
This link lets you access a video for the correct answer
In this problem, it is important to take note that the number of numbers to be utilized isn't specified so it can be up to a thousand numbers. It wasn't also specified if repeating of numbers is allowed or not. So with those taken into consideration and the condition presented in mind, the numbers that can give you 8 when added and 30 when multiplied are 2, 3, 5, -1, and another -1. The derivation from this is mainly from factorization and a little bit of logic.
here is the solution.
2 x 3 x 5 x -1 x -1 = 30
6 x 5 x -1 x -1 = 30
30 x -1 x -1 = 30
-30 x -1 = 30
30 = 30
2 + 3 + 5 + -1 + -1 = 8
5 + 5 + -1 + -1 = 8
10 + -1 + -1 = 8
9 + -1 = 8
8 = 8
Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing