Question 917337
For this line y = -2x +3, then
the y intercept is 3 and the point is (0, 3)
solve line for x,
subtract 3 from both sides of =
-2x = y -3
divide both sides of = by -2
x = -y/2 +3/2
the x intercept is 3/2 and the point is (3/2, 0)
we want the distance(d) between these two points
d = square root( (3/2 - 0)^2 + (0 - 3)^2 )
d = square root ( 45/4 ) = 3.354101966  approx 3.35
here is a graph of the line y = -2x +3
{{{ graph( 300, 200, -10, 10, -10, 10, -2x+3) }}}