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OverLord2011 [107]

3 years ago

7

Consider two unique parallel lines. What aspects of

1 answer:

ahrayia [7]3 years ago

3 0

Answer:

The slope of two parallel lines will always be the same. If the slope was slightly different, then the lines would intersect at some point, which breaks the definition of parallel lines.

The y-intercepts of two parallel lines have to be different, or else the two lines would be the same line. If the y-intercept and the slope are the same, then the lines will essentially equal each other.

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Find one value of xxx that is a solution to the equation (2x+3) 2 −6x−9=0

vesna_86 [32]

(2x+3) ^2 −6x−9=0

(2x+3) (2x+3) −6x−9=0

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4x^2 +6x+6x+9-6x-9=0

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Combine like terms

4x^2 +6x=0

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Step-by-step explanation:

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3 years ago

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4 years ago

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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

EastWind [94]

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Answer: $\textsf{y = -1/4x - 4}$

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Given: $\textsf{Slope = -1/4, Point through = (4, -5)}$

Find: $\textsf{Equation for the line that passes through the given point}$

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-5) = -1/4(x - 4)}$

<u>Simplify and solve for y</u>

$\textsf{y + 5 = -1/4(x - 4)}$

$\textsf{y + 5 = -1/4x + 1}$

$\textsf{y + 5 - 5 = -1/4x + 1 - 5}$

$\textsf{y = -1/4x - 4}$

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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2 years ago

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Fynjy0 [20]

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3 years ago