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Bas_tet [7]
2 years ago
13

The equation for line p can be written as y= – 5/4 x–6. Line q includes the point (5, – 8) and is parallel to line p. What is th

e equation of line q?
Mathematics
1 answer:
Elden [556K]2 years ago
5 0

Answer:

y = -(5/4)x - (1 3/4)

Step-by-step explanation:

A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation.  This means we can write:

y = -(5/4)x + b

As klong a b is not -6, the line will be parallel.  But we are told that point (5,-8) must be on the new line.  That means we need to select a value of b to make that happen.  By shifting b, we can move the straight line up or down.  To move it so that it goes through (5,8), enter that point in the equation and solve for b:

y = -(5/4)x + b

-8 = -(5/4)*5 + b   for (5,-8)

-8 = -(25/4) + b

b = -8 + (25/4)

b = -(32/4)+(25/4)

b = -(7/4) or - 1 3/4

The parallel line that goes through (5,-8) is y = -(5/4)x - 2

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Step-by-step explanation:

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2 years ago
A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle
tatuchka [14]

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36

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3 years ago
The base of a triangle is 75 cm and its height is 12<br> 12 cm. Find its area.
lisabon 2012 [21]

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Here is your answer

Step-by-step explanation:

Solution,

here,

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