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Oxana [17]
2 years ago
6

Which equation represents a line which is parallel to the line y=1/5x -1

Mathematics
1 answer:
masha68 [24]2 years ago
3 0

9514 1404 393

Answer:

  (c) 5y - x = -20

Step-by-step explanation:

When the x- and y-terms are on the same side of the equation, the slope of the line will be ...

  m = -(coefficient of x)/(coefficient of y)

So, the slopes of the offered choices are ...

  a) -5/1 = -5

  b) -1/5

 c) -(-1)/5 = 1/5 . . . . . parallel to given line

  d) -5/-1 = 5

The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.

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Write an equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4)
MrRa [10]

Answer:

The  equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

  • y = 3x-13

Step-by-step explanation:

Given the equation

y + 5 = 3(x - 1)

Writing in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

y = 3(x-1) -5

y  = 3x-3-5

y = 3x - 8

Thus, the slope = m = 3

We know that the parallel lines have equal slopes.

So, the slope of a parallel line is also 3

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

substituting the values m = 3 and the point (3, -4)

y-(-4)=3(x-3)

y+4 = 3x-9

y = 3x-9-4

y = 3x-13

Thus, the  equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:

  • y = 3x-13
5 0
3 years ago
(1 x 106) - (8 x 109)<br> How do I solve it
choli [55]
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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