SOLUTION: A line has an equation 3x+4y=24. Find the points of intersection of the line and the coordinate axes.

Algebra ->  Linear-equations -> SOLUTION: A line has an equation 3x+4y=24. Find the points of intersection of the line and the coordinate axes.      Log On


   

Question 894372: A line has an equation 3x+4y=24. Find the points of intersection of the line and the coordinate axes.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The intersection with the y-axis occurs where +x+=+0+, so
+3%2A0+%2B+4y+=+24+
+4y+=+24+
+y+=+6+
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The intersection with the x-axis occurs where +y+=+0+, so
+3x+%2B+4%2A0+=+24+
+3x+=24+
+x+=+8+
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Heres's the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%28-3%2F4%29%2Ax+%2B+6+%29+