SOLUTION: calculate distance between the x and y intercept given y=2x+6

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: calculate distance between the x and y intercept given y=2x+6      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1055611: calculate distance between the x and y intercept given y=2x+6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find x-intercept by letting +y+=+0+
+y+=+2x+%2B+6+
+0+=+2x+%2B+6+
+2x+=-6+
+x+=+-3+
( -3, 0 )
--------------------
Find the y-intercept by letting +x+=+0+
+y+=+2x+%2B+6+
+y+=+2%2A0+%2B+6+
+y+=+6+
( 0, 6 )
--------------------
+d+=+sqrt%28+%28+0+-%28-3%29+%29%5E2+%2B+%28+6+-+0+%29%5E2+%29+
+d+=+sqrt%28++3%5E2+%2B+6%5E2+%29+
+d+=+sqrt%28+9+%2B+36+%29+
+d+=+sqrt%28+45+%29+
+d+=+3%2Asqrt%28+5+%29+