The equation of the line that is perpendicular to y = 4x+5 and passes through the point (8, 3) is y = - 1 / 4 x + 5
How to find the equation of a line?
The equation of the line is perpendicular to y = 4x+5 and passes through the point (8, 3).
Therefore, perpendicular lines follows the rule below:
m₁m₂ = -1
Therefore,
4m₂ = -1
m₂ = - 1 / 4
Hence,
y = mx + b
where
Therefore, (8, 3)
3 = -1 / 4(8) + b
b = 3 + 2
b = 5
Therefore, the equation is as follows;
y = - 1 / 4 x + 5
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