Answer: y = -x/4 + 4
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 4x - 6
Comparing with the slope intercept form, slope = 4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L passing through (8,2) is - 1/4
To determine the intercept, we would substitute m = - 1/4, x = 8 and y = 2 into y = mx + c. It becomes
2 = - 1/4 × 8 + c
2 = - 2 + c
c = 2 + 2 = 4
The equation becomes
y = -x/4 + 4
