Find the distance between the x-intercept and the y-intercept of the graph of the equation 5x-12y=60.
To find the x intercept, set y = 0 and we have that
5x = 60
x =12
So.....the x intercept is (12, 0)
To find the y intercept, ley x = 0 and we have that
12y = 60
y = 5
So.....the y intercept is ( 0, 5)
The distance between these =
sqrt [ ( 12 - 0 )^2 + ( 5 - 0)^2 ] =
sqrt [ 12^2 + 5^2] =
sqrt [ 144 + 25 ] =
sqrt [ 169 ] =
13 units
To find the x intercept, set y = 0 and we have that
5x = 60
x =12
So.....the x intercept is (12, 0)
To find the y intercept, ley x = 0 and we have that
12y = 60
y = 5
So.....the y intercept is ( 0, 5)
The distance between these =
sqrt [ ( 12 - 0 )^2 + ( 5 - 0)^2 ] =
sqrt [ 12^2 + 5^2] =
sqrt [ 144 + 25 ] =
sqrt [ 169 ] =
13 units