SOLUTION: The line with equation 3x+4y=8 make right triangle with coordinate axes.find area of the triangle ?

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Question 935996: The line with equation 3x+4y=8 make right triangle with coordinate axes.find area of the triangle ?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
equation of line 3x+4y =8
step `1: determination of x-intercept
put y =0 in the above equation to find out x-intercept
3x+4*0=8
3x= 8
divide with 3 on both sides
+3x%2F3+=8%2F3
x+=8%2F3
step 2 : determination of y-intercept

put x=0 to get y-intercept
3*0 +4y =8
4y = 8
diide with 4 on both sides
4y/4 = 8/4
y= 2
Step 3: determination of area
Formula : Area = +%281%2F2%29+%2Ax-intercept%2Ay-intercept
+Area++=+%281%2F2%29+%2A+%288%2F3%29%2A+2+
=+8%2F3
=2.667
Result : Area is 8/3 or 2.667