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
From the information given,
comparing the equation given,
y=4x+1 with the slope intercept equation, y = mx + c
Slope, m = 4
When two slopes are perpendicular, their product is -1
Let the slope of the perpendicular line to the one given by the above equation be m1. Therefore,
m × m1 = -1
4 m1 = -1
m1 = -1/4
Inputting m1 = 4 into the slope intercept equation, it becomes
y = -1/4×x + c
y = -x/4 + c
