Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. The equation of the given line is
y=2x-4
Slope = 2
Therefore, the slope of the perpendicular line is -1/2
It passes through point (4,4)
We would determine the intercept, by substituting m = -1/2 , y = 4 and x = 4 into the slope intercept equation
y = mx + c
4 = -1/2 ×4 + c
4 = -2 + c
c = 4 + 2 = 6
The equation becomes
y = -x/2 + 6
