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3 years ago

What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?

Mathematics

2 answers:

schepotkina [342]3 years ago

5 0

Answer:

y+3=2/3(x-9)

Step-by-step explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!

inysia [295]3 years ago

5 0

Answer:

y = 2/3 - 9

Step-by-step explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same. substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9

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Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE

Snezhnost [94]

Answer:

$BE = 4\sqrt2$

Step-by-step explanation:

Given

The attached square

Required

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Since the shape is a square, then

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So:

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2 years ago

choose an equation in slope-intercept form for the line that passes through (-8,1) and is perpendicular to the y=2x-17. select o

Fed [463]

Y = 2x - 17, comparing to y = mx + c, slope m = 2.

If perpendicular, the new slope would be -1/2, that is the negative reciprocal of 2.

And passing through (-8 , 1).

using y = mx + c, and x = -8, y = 1, m = -1/2

1 = -1/2*-8 + c

1 = 4 + c

1 - 4 = c

c = -3

y = mx + c, substituting m = -1/2, and c = -3, y = -(1/2)x - 3.

Option C.

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3 years ago

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Zina [86]

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3 years ago

Write an equation of the vertical line through the points (9,-8)

Anna007 [38]

Answer:

x = 9

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (9, - 8) with x- coordinate 9, thus

x = 9 ← equation of vertical line

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3 years ago