SOLUTION: Find the equation of the line that contains the point (0,5) and is perpendicular to the line y= 1/4x

Question 582: Find the equation of the line that contains the point (0,5) and is perpendicular to the line y= 1/4x
Answer by janinecb(25) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals of each other. Since the slope of the first line is 1/4, the slope of the new line will be -4.

Since the point (0, 5) is on the y-axis, this means that 5 is the y-intercept of the new line.

Using the formula y = mx + b where m is the slope and b is the y-intercept, then the new equation of the line is y = -4x + 5
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