There are no intercepts because the curve, xy = 4 is asymptotic. When x = 0 (where the y intercept would be) y is infinite, and conversely, when y = 0 x is infinite.
Chat with our AI personalities
We are told: 16y2 = 120x - 225 The y-intercepts will happen where x equals zero, so we can say: 16y2 = 120(0) - 225 16y2 = -225 y2 = -225 / 16 y = √(-225 / 16) y = ±15i/4
xy = 8 or y = 8/x
You find the intercepts on the x and y axis: First, sub in x=0, giving you y=4. Then sub in y=0, giving you x=-4. So your intercepts are (0,4) and (-4,0). Plot these 2 points, and draw a line between them (you can do this since your function is a straight line, not a curve).
x intercept = (5, 0) y intercept = (0, -2)
-1