The equation of required line is: 
Step-by-step explanation:
We are given point (1,1) and a line having equation y=4x+6
We need to find a line perpendicular to the given line.
The standard form of slope-intercept is: y=mx+b
where m is slope and b is y-intercept.
So, comparing the given equation with standard line we get,
m= 4
Since the new line is perpendicular to the given line, so its slope will be -1/slope
So, slope of new line is m= -1/4
Now, finding y-intercept
Using the given point and slope we get:

So, y-intercept is 
The equation of new line having slope -1/4 and y-intercept = 5/4 is:

So, the equation of required line is: 
Keywords: Slope-intercept form is:
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