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The lines y = -2x + 8 and y = x/2 - 2 meet at (4,0), as shown. What is the area of the triangle formed by these two lines and the line x = -2?

 Apr 28, 2020
 #1
avatar+657 
+2

Hint: Check if the triangle is a right triangle by seeing if there are slopes that are negative reciprocals.

 

- Do you know distance formula?

 Apr 28, 2020
 #5
avatar+12300 
+3

The lines y = -2x + 8 and y = x/2 - 2 meet at (4,0), as shown. What is the area of the triangle formed by these two lines and the line x = -2?

laugh

 Apr 28, 2020
 #6
avatar+657 
+1

An alternative method is draw the altitude from C to AB. Then calculate the area, and I got 31.25 as well.

AnExtremelyLongName  Apr 28, 2020

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