Functions (Graphs and Behaviour)

Hong Kong

Stage 4 - Stage 5

Consider the system of equations $x^2+y^2=4$`x`2+`y`2=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`=`m``x`+`b`.

b

Graph both equations together on the same coordinate plane.

Loading Graph...

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`=−13`x`.

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

Sign up to access Practice Questions

Get full access to our content with a Mathspace account