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.
Algebra.Com
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): You can put this solution on YOUR website!
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
RELATED QUESTIONS
Obtain the equation of the straight line passing through the point (4, 5) and
(i)... (answered by Boreal)
Find the equation of each of these straight lines in the form of y=mx+c.
b)... (answered by mananth)
Find the equation of the line passing through the points ( - 4, 8) and (5, -1).
Also... (answered by checkley77)
)Find the equation of the line (in y = mx + c form) that:
a)is perpendicular to the line (answered by oscargut)
Graphing Lines by the intercepts method.
Find the equation of the line parallel to the (answered by robertb)
I need help on these two questions!
1. Write the standard form of the equation of the... (answered by sachi)
Solve all parts of following question:
1- Find the equation of the straight line... (answered by ikleyn)
a. Find the equation of the straight line joinging the points (1,2) and (-3,5).
b. Find... (answered by jim_thompson5910)
Find the equation of the line perpendicular to the line x = 4 and passing through the... (answered by solver91311)
