If two lines whose slopes are m1 and m2 are perpendicular to each other than
Question
If two lines whose slopes are m1 and m2 are perpendicular to each other than
Solution
If two lines whose slopes are m1 and m2 are perpendicular to each other, we can determine the relationship between their slopes using the property of perpendicular lines.
Step 1: Recall that the slopes of two lines can be found using the formula: slope = (change in y-coordinates) / (change in x-coordinates)
Step 2: For two lines to be perpendicular, their slopes must satisfy the condition: m1 * m2 = -1
Step 3: Substitute the given slopes m1 and m2 into the equation from step 2. m1 * m2 = -1
Step 4: Solve the equation for m2. m2 = -1 / m1
Step 5: The resulting value of m2 represents the slope of the line perpendicular to the line with slope m1.
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