Answer:
-1/4
Step-by-step explanation:
4x-y=6
y=4x-6
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perpendicular means negative reciprocal of the given slope,
right now you have slope of 4, negative reciprocal of 4 is -1/4.
So y=-1/4x-6.
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4x - y = 6 into this form by subtracting 4x from both sides
- y = - 4x + 6 ( multiply through by - 1 )
y = 4x - 6 ← in slope- intercept form
with slope m = 4
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]
