Asked by Jeff
Find the distance between the x-intercept and the y-intercept of the graph of the equation 5x - 12y = 60.
Answers
Answered by
Alex
The x-intercept of a graph is when y is 0.
5x - 12(0) = 60
x = 12
So our point is (12, 0).
Likewise, the y-intercept is when x is 0.
5(0) - 12y = 60
y = -5
So our point is (0, -5).
The distance between two points is given by the formula:
Dist = sqrt{(x0 - x1)^2 + (y0 - y1)^2}.
For this case, this is 13.
(Note that these points also form a right triangle, so you could solve for distance that way.)
5x - 12(0) = 60
x = 12
So our point is (12, 0).
Likewise, the y-intercept is when x is 0.
5(0) - 12y = 60
y = -5
So our point is (0, -5).
The distance between two points is given by the formula:
Dist = sqrt{(x0 - x1)^2 + (y0 - y1)^2}.
For this case, this is 13.
(Note that these points also form a right triangle, so you could solve for distance that way.)
Answered by
Steve
Sometimes it helps to use the intercept form of a line.
5x - 12y = 60
x/12 + y/-5 = 1
The intercepts are 12 and -5, you you have a 5-12-13 right triangle.
5x - 12y = 60
x/12 + y/-5 = 1
The intercepts are 12 and -5, you you have a 5-12-13 right triangle.
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