SOLUTION: Find the equation of the straight line passing through a(4,5) and perpendicular to the line x+2y-4=0. These two lines intersect at F. Find the coordinates of F.
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Question 884976: Find the equation of the straight line passing through a(4,5) and perpendicular to the line x+2y-4=0. These two lines intersect at F. Find the coordinates of F. Answer by solver91311(24713) (Show Source):
Step 1: Solve the equation representing the given line for in terms of everything else.
Step 2: Determine the slope of the given line by inspection of the coefficient on in the result of Step 1.
Step 3: Calculate the negative reciprocal of the result of Step 2 to determine the slope of all lines perpendicular to the given line.
Step 4: Use the result of Step 3, the coordinates of the given point, and the Point-Slope Form of an equation of a line to derive the equation for the desired line.
Step 5: Use the given equation and the equation derived in Step 4 to form a 2X2 system of equations. Solve.
John
My calculator said it, I believe it, that settles it
