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
