The formula to calculate the slope of a perpendicular line is:
\[ a \cdot m = -1 \implies a = -\frac{1}{m} \]
Where:
To calculate the y-intercept of the perpendicular line:
\[ b = y_0 + \frac{1}{m} \cdot x_0 \]
Where:
A perpendicular line is a line that forms a 90-degree angle with another line. Such lines can be positioned in any plane. On the grid, the perpendicular lines can be positioned crosswise, vertically and horizontally, or sideways. They don’t have to be pointing upwards; they should only be at a 90-degree angle with respect to another line.
Example:
Step 1: Calculate the slope of the perpendicular line:
\[ a = -\frac{1}{2} = -0.5 \]
Step 2: Calculate the y-intercept:
\[ b = 4 + \frac{1}{2} \cdot 3 = 4 + 1.5 = 5.5 \]
