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LuckyWell [14K]
2 years ago
6

Write an equation in standard form of a line that passes through (4, 2) and is parallel to y = - 3/4 * x - 5 .

Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

y=2x+y-int

Step-by-step explanation:

If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.

Use this value of slope to calculate the y intercept. 2  = ( 2 - y-int)/4 - 0)

THus, your equation is y = 2x + y-int

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A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.
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Answer:

<h2>           y = -⁵/₂x - 12 </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

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y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

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