Here we will show you how to find the equation of a line that is perpendicular to y = 2x + 6.
First of all, the equation y = 2x + 6 creates a straight line on a graph, and the equation of a line that is perpendicular to y = 2x + 6 creates a line that crosses y = 2x + 6 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 + 6 is the negative inverse of the slope of y = 2x + 6.
The slope of y = 2x + 6 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 + 6 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 + 6 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
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