SOLUTION: Find the distance between the $x$-intercept and the $y$-intercept of the line below. The equation of the line is 3x - 3y = 8.

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Question 1209094: Find the distance between the $x$-intercept and the $y$-intercept of the line below.
The equation of the line is 3x - 3y = 8.
Found 2 solutions by mccravyedwin, math_tutor2020:
Answer by mccravyedwin(409)   (Show Source): You can put this solution on YOUR website!

Really, there is no need for the dollar marks " $ " around numbers.



Find the x-intercept by substituting y=0 in the equation and solving for x.
Find the y-intercept by substituting x=0 in the equation and solving for y.

They will be fractions.

Now you have a right triangle formed, so use the Pythagorean theorem to
find the distance between the x-intercept and the y-intercept. It will
be the hypotenuse. Or if you've studied the distance formula, you can use 
that.

Edwin
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Hint #1: The x and y intercepts are (8/3, 0) and (0, -8/3) in that order.

Hint #2: The distance formula is

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