What is the gradient of the straight line perpendicular to the straight line y = -3x + 4
Question
What is the gradient of the straight line perpendicular to the straight line y = -3x + 4?
Solution
To find the gradient of a line perpendicular to another line, we need to determine the negative reciprocal of the gradient of the given line.
The given line is y = -3x + 4. We can see that the gradient of this line is -3.
To find the gradient of the line perpendicular to this, we take the negative reciprocal of -3. The negative reciprocal is found by flipping the fraction and changing the sign.
So, the negative reciprocal of -3 is 1/3.
Therefore, the gradient of the straight line perpendicular to y = -3x + 4 is 1/3.
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