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

y=4x+7
y=-4x-5
y=(-1/4)x-3

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

step-by-step explanation:

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step-by-step explanation: