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Sever21 [200]
1 year ago
8

Which equation represents the line that passes through points B and C on the graph? 2 4 3 B 3 4 5 ภา

Mathematics
1 answer:
777dan777 [17]1 year ago
3 0

The point B has coordinates (-4,2) and C has coordinates (-2,-2). We are going to calculate the slope of the line

m=\frac{y2-y1}{x2-x1}=\frac{-2-2}{-2-(-4)}=-2

Then, we are going to calculate the intercept using the slope m=-2 and the point (-4,2).

y=mx+b

2 = -2*(-4)+b

Isolating b we get

2-8=b= -6

The equation would be

y=-2x-6, option A

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Passes through (-2,6) with a slop of -1/4
nikitadnepr [17]

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Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b
frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

  parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

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- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

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∴ (-x + 8x) + (6y - 6y) = 16 + -2

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∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

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- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

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# The y-variable will be eliminated when adding the system of

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# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

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