e equation of L2 perpendicular to L1 and passes through (-2, 4)

To find the equation of a line perpendicular to L1 and passing through the point (-2, 4), we can follow these steps:

Step 1: Determine the slope of L1. Step 2: Find the negative reciprocal of the slope of L1 to get the slope of the perpendicular line. Step 3: Use the point-slope form of a line to write the equation of the perpendicular line.

Let's go through each step in detail:

Step 1: Determine the slope of L1. To find the slope of L1, we need to know the equation of L1 or have two points on L1. If you have the equation of L1 or two points, please provide them so we can proceed with the calculation.

Step 2: Find the negative reciprocal of the slope of L1. Once we have the slope of L1, we can find the negative reciprocal by taking the negative of the reciprocal of the slope. The negative reciprocal of a number is obtained by flipping the fraction and changing the sign. For example, if the slope of L1 is m, then the slope of the perpendicular line is -1/m.

Step 3: Use the point-slope form of a line to write the equation of the perpendicular line. The point-slope form of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Using the point (-2, 4) and the slope we found in step 2, we can substitute these values into the point-slope form to get the equation of the perpendicular line.

Please provide the necessary information for step 1 so we can continue with the calculation.