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3 years ago

(help!) Without graphing or solving either system of equations explain how you know what the solution to the system is.

Mathematics

1 answer:

Pavel [41]3 years ago

3 0

Answer:

For A, both equations have the same slope, but different y-intercepts. This means that they are parallel, and will never cross, meaning there is no solution.

For B, it's the same equation, meaning that they are always crossing (it's the same line!), so there are infinite solutions.

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Step-by-step explanation:

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Read 2 more answers

Is the relationship shown by the data linear? If so, model the data with an equation.

zhenek [66]

Answer:

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e $y-5=2(x+7)$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )

point B( x₂ , y₂) ≡ (-5, 9)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}$

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3 years ago

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ale4655 [162]

Answer:

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Step-by-step explanation:

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3 years ago