Functions (Graphs and Behaviour)
Hong Kong
Stage 4 - Stage 5
Using technology to solve problems with graphs II
Interactive practice questions
Consider the system of equations $x^2+y^2=4$x2+y2=4 and $x-y=2$x−y=2.
a
Rewrite the equation $x-y=2$x−y=2 in the form $y=mx+b$y=mx+b.
b
Graph both equations together on the same coordinate plane.
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c
Hence, write down the solution set for the system by finding the points of intersection.
Write all coordinate points on the same line, separated by a comma.
Easy
2min
Consider the system of equations $\left(x-3\right)^2+\left(y-1\right)^2=16$(x−3)2+(y−1)2=16 and $y=x+2$y=x+2.
Easy
1min
Consider the system of equations $x=\left(y-3\right)^2-9$x=(y−3)2−9 and $y=-\frac{1}{3}x$y=−13x.
Easy
1min
Consider the following system of equations.
| $\frac{x^2}{25}$x225 | $+$+ | $\frac{y^2}{9}$y29 | $=$= | $1$1 |
| $y$y | $=$= | $3$3 |
Easy
1min
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