An equation is formed when two equal expressions. The equation of a line that is perpendicular to y=2x+4 and passes through the point (4,6) is y=-(1/2)x+8.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The product of the slope of the two perpendicular lines is -1. Therefore, the slope of the perpendicular line is,
m × 2 = -1
m = -1 /2
Thus, the equation of the perpendicular line becomes y=-(1/2)x+c.
Now, if the coordinate of the point is substituted in the equation of the perpendicular line.
y = -(1/2)x + c
6 = -(1/2)(4) + c
6 = -2 + C
8 = c
Therefore, the final equation is y=-(1/2)x+8.
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