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ohaa [14]
3 years ago
9

Which of the following lines is parallel to the line y=(-1/4)x+5?

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer: y=(-1/4)x -3

Step-by-step explanation:

Which of the following lines is parallel to the line y=(-1/4)x+5

Two lines are parallel to each other if they have the same slope,

Slope of line 1 = slope of line 2

Looking at y=(-1/4)x+5,

we will compare it with the slope-intercept equation, y= mx+c

Slope of y=(-1/4)x+5 = -1/4

Now let's examine the options to see the one such that has the same value with our slope , -1/4

1) y=4x+7

From this equation, slope = 4

4 × -1/4= -1

This means lines (-1/4)x+5 and y=4x+7 are not parallel to each other since their slopes are unequal

2)y=-4x-5, slope = -4

This means lines (-1/4)x+5 and y=4x-5 are not parallel to each other since their slopes are unequal.

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

slope = -1/4

This means lines (-1/4)x+5 and y= (-1/4)x-3 are parallel to each other since their slopes are equal. This means equations y=(-1/4)x-3 and y=(-1/4)x+5

are parallel.

In conclusion, line y=(-1/4)x-3 is parallel to y=(-1/4)x+5

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Is perpendicular to ? Explain.
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So, you just need to find the slope of each line and find out the product of their slopes.

I will do one example for you.

L1: y = 3x + 5

L2: y = - 3x + 14

L3: y = -x/3 + 14

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