Find the slope of the line. Write your answers in simplest form

Mathematics

1 answer:

dmitriy555 [2]2 years ago

6 0

Answer:

-3/5

Step-by-step explanation:

using the picture and the rise over run method, you can see that from the coordinate farthest to the right, you move 3 spaces up (positive), and 5 spaces to the left (negative), which gives you your answer of -3/5.

You can also use the formula to find the slope:

1) y₂-y₁/x₂-x₁

2) -2-1/1-(-4)

3) -3/5

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X+3y = 2

nalin [4]

Answer:

The value of "x" is 5.

Step-by-step explanation:

In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...

$x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}$

Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".

$4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5$