Here we will show you how to find the equation of a line that is perpendicular to y = 2x + 1.
First of all, the equation y = 2x + 1 creates a straight line on a graph, and the equation of a line that is perpendicular to y = 2x + 1 creates a line that crosses y = 2x + 1 to create a 90-degree angle. In other words, the two equations make a perfect cross.
Furthermore, the slope of a line that is perpendicular to y = 2x + 1 is the negative inverse of the slope of y = 2x + 1.
The slope of y = 2x + 1 is 2, and the negative inverse of of 2 is -0.5. Therefore, we can start by writing the equation of a line that is perpendicular to y = 2x + 1 like this:
y = -0.5x + b
To find b in the equation above, we need to know a point on the perpendicular line. For example, if we know the perpendicular line passes through the point (1,2), where x = 1 and y = 2, then all we have to do is enter these values into the formula and solve for b, like this:
y = -0.5x + b
2 = (-0.5)1 + b
b = 2.5
Therefore, the equation of a line that is perpendicular to y = 2x + 1 and travels through point (1,2) is as follows:
y = -0.5x + 2.5
To calculate b for another point, please enter it below so we can calculate it for you:
Perpendicular Equation Calculator
Need to find another perpendicular line equation? No problem! Please enter an equation below to get started. Note that you can enter positive and negative integers.
What is the equation of a line that is perpendicular to y = 2x + 2?
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