SOLUTION: A) find the equation of the line through the points A (0,4) and B (3,2) B) find l, the equation of the line through B and is perpendicular to AB C) the line l intersects the y ax

Algebra ->  Linear-equations -> SOLUTION: A) find the equation of the line through the points A (0,4) and B (3,2) B) find l, the equation of the line through B and is perpendicular to AB C) the line l intersects the y ax      Log On


   

Question 1119234: A) find the equation of the line through the points A (0,4) and B (3,2)
B) find l, the equation of the line through B and is perpendicular to AB
C) the line l intersects the y axis at C. Find the area of triangle ABC
Answer by AnlytcPhil(1806) About Me  (Show Source):
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A) find the equation of the line through the points A (0,4) and B (3,2)
Here's the picture:

B) find l, the equation of the line through B and is perpendicular to AB

Here's the picture:

C) the line l intersects the y axis at C. 
Find the coordinates of C by setting x = 0 in line 1
 
So the point is C(0,-5/2)

Find the area of triangle ABC:
It's the absolute value of this determinant:


Edwin