topic badge
Hong Kong
Stage 4 - Stage 5

Intersections of Graphs by other methods I

Interactive practice questions

Consider the following linear equations:

$y=5x-7$y=5x7 and $y=-x+5$y=x+5


Plot the lines of the two equations on the same graph.

Loading Graph...

State the values of $x$x and $y$y which satisfy both equations.

$x$x = $\editable{}$

$y$y = $\editable{}$

Approx 2 minutes

Consider the functions $f\left(x\right)=-3\left(x^2-3\right)$f(x)=3(x23) and $g\left(x\right)=-6x$g(x)=6x.

Below is the graph of $y=-x^2-2x+3$y=x22x+3.

We want to solve the equation $x^2-x-2=0$x2x2=0 graphically by finding the point of intersection of $y=-x^2-2x+3$y=x22x+3 and a straight line graph.

Consider the functions $f\left(x\right)=5x+5$f(x)=5x+5 and $g\left(x\right)=2^x+5$g(x)=2x+5.

Sign up to access Practice Questions
Get full access to our content with a Mathspace account

What is Mathspace

About Mathspace