Graph Of Linear Equation Practice 2

In this practice section, students will complete three structured questions that guide them through drawing accurate straight-line graphs on graph paper. They will then use their graphs to identify the point of intersection and determine the solution to a pair of simultaneous equations using the graphical method.

Practice 2 - Question 1

The table are values for the equation \(y=-2x+4\)
  1. Find the values of a and of b
  2. Plot the graph of \(y=-2x+4\) on a graph paper using a scale of 2cm to represent 1 unit on the x-axis for \(0\le x\le6\), and 1cm to represent 1 unit on the y-axis for \(-14\le y\le6\)
  3. On the same axes, plot the line \(2x=y+12\)
  4. Hence, use your graph to solve the simultaneous equations
\[ \begin{align*} y&=-2x+4\\\ 2x&=y+12\\ \end{align*} \]

Practice 2 - Question 2

In a farm, there are x cows and y chickens. Each cow has four (4) legs and each chicken has two (2) legs. There are altogether 24 animal legs in the farm.

  1. Form an equation connecting \(x\) and y express in its simplest form.
  2. Draw the graph of the equation in (a) in the grid provided.
  3. From your graph, find the number of chickens when there are 3 cows.

Practice 2 - Question 3

Which of the graphs is the graph of

  • \(x=3\)
  • \(y=3\)
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