8 Nonlinear relationships
Interactive practice questions
Consider the hyperbola $y=\frac{3}{x}$y=3x and the line $y=5$y=5.
a
To solve for the point of intersection of the hyperbola and the line, Yvonne forms the equation $\frac{3}{x}=5$3x=5. At how many points will the two graphs intersect?
b
Solve for the $x$x-coordinate of the point of intersection.
c
Hence state the coordinates of the point of intersection in the form $\left(x,y\right)$(x,y).
Easy
3min
Consider the hyperbola $xy=4$xy=4 and the straight line $y=x+5$y=x+5.
Easy
1min
Consider the system of equations:
$y=-x^3$y=−x3
$y=-x$y=−x
Easy
4min
Consider the system of equations:
$x^2+y^2=25$x2+y2=25
$x+y=1$x+y=1
Easy
2min
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