Respuesta :
The equation of the line perpendicular to y=4x+5 and passes through (-3,4) is y=-1/4 (x-13).
Given that the line whose equation is to be found is perpendicular on y=4x+5 and passes through (-3,4).
We are required to find the equation of the line that is perpendicular to y=4x+5 and passes through (-3,4).
When the lines are perpendicular the product of slopes is -1.
Slope intercept form of the equation is y=mx+c in which m is slope of the line.
From the above equation and comparison with y=4x+5 the slope of the line is 4.
Suppose the slope of the line be m.
According to given rule the following will come:
m*4=-1
m=-1/4
Required equation will be as under:
y-4=-1/4 (x+3)
y=-x/4 -3/4+4
y=-x/4+13/4
y=-1/4 (x-13)
Hence the equation of the line perpendicular to y=4x+5 and passes through (-3,4) is y=-1/4 (x-13).
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