SOLUTION: In the xy plane, line l is perpendicular to the graph of the function f(x) = 5x-2 What is the graph of line l?
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-> SOLUTION: In the xy plane, line l is perpendicular to the graph of the function f(x) = 5x-2 What is the graph of line l?
Log On
You cannot graph the desired line with only the information given. That is because there are an infinite number of lines that satisfy the given criteria. If you can discover a point through which your desired line must pass, then you will have narrowed it down to a unique solution. Here's what you do once you find your point.
Use the fact that perpendicular lines have slopes that are negative reciprocals of each other, that is to say:
Also use the fact that your given line is in slope intercept form. That means the slope of the given line is simply the coefficient on . Using the slope of the given line and the relationship of slopes between perpendicular lines, you can calculate the slope of the desired line.
Once you have a point through which the desired line passes, then you can use the slope you just calculated along with the coordinates of the point to write an equation of your desired line using th point-slope form:
where are the coordinates of the given point and is the calculated slope.
John
My calculator said it, I believe it, that settles it
