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Y_Kistochka [10]
2 years ago
8

What is the equation of the line that passes through the point (5, -6) and has a slope of 3/5

Mathematics
1 answer:
Marysya12 [62]2 years ago
8 0

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

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What is the domain of the given function? LaTeX: {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)} ( 3 , – 2 ) , ( 6 , 1 ) , ( – 1 , 4
Musya8 [376]

Given:

\text{Function}=\{(3, -2), (6, 1), (-1, 4), (5, 9), (-4, 0)\}

To find:

The domain of the given function.

Solution:

Domain is the set of input values or x-values.

In the given function, the x-coordinates of ordered pairs are 3, 6, -1, 5 and -4. So, domain is the set of these values in ascending order.

The set builder form of domain is

\text{Domain}=\{x|x=-4,-1,3,5,6\}

Therefore, the correct option is C.

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