Efficiently drawing linear graphs | Maths | Quizalize & Oak National Academy

Starter quiz

The -______ is the point where a line or curve meets the $y$ -axis.
- 'intercept' ✓
Which of these graphs will form straight line when plotted?
- $y=2x+3$ ✓
- $y=2x^3+3$
- $y=3x^2+3$
- $y=3x-2$ ✓
- $y+2x=3$ ✓
Identify the linear graphs with a gradient of 4.
- $y=4x-3$ ✓
- $y=x+4$
- $y= 3 - 4x$
- $y=4x^3$
- $y=3+4x$ ✓
These are all linear equations which give straight line graphs. Match each linear equation with another equation to form a pair of parallel lines.
- $y=5x+2$
  
  ⇔
  
  $y=2+5x$ ✓
- $y=5-2x$
  
  ⇔
  
  $y=-2x+5$ ✓
- $y=2x$
  
  ⇔
  
  $y=2x+5$ ✓
- $y=x-5$
  
  ⇔
  
  $y=x-2$ ✓
- $y=2-x$
  
  ⇔
  
  $y=-x-5$ ✓
What features of the graph of $y=5-7x$ can be found just by looking at the equation?
- It has a gradient of $7$
- It has a gradient of $-7$ ✓
- It has a $y$ -intercept of $5$ ✓
- It has a $y$ -intercept of $-7$
- It is a straight line. ✓
Which of these equations could this sketch represent?
- $y=3x-8$
- $y=8x+3$ ✓
- $y=8-3x$
- $y+8x=3$
- $y-3x=8$ ✓

The relationship between two variables is ______ if, when plotted on a pair of axes, a straight line is formed.
- 'linear' ✓
The minimum number of coordinates needed to plot the graph of a linear equation is ______
- '2' ✓
Aisha is plotting the graph of the line $y=2x+1$ . She only wants to plot two points. The first point Aisha plots is (0, 1). Which of these points would be the best second point for Aisha to use?
- (0.1, 1.2)
- (0.5, 1.5)
- (3, 5)
- (5, 11) ✓
- (1000, 2001)
Sam plots the graph of the linear equation $4x + 6y = 24$ . When $x=0$ then $y=$ ______.
- '4' ✓
Match each pair of coordinates with the equation of the line that coordinates are on.
- $(2, 3)$
  
  ⇔
  
  $x+y=5$ ✓
- $(2, 4)$
  
  ⇔
  
  $2y-x=6$ ✓
- $(2, 1)$
  
  ⇔
  
  $y+2x=5$ ✓
- $(2, 5)$
  
  ⇔
  
  $y-2x=1$ ✓
- $(2, 2)$
  
  ⇔
  
  $2y+x=6$ ✓
Jacob wants to draw the graph of $y = 0.25x + 5.25$ for positive values of $x$ . The coordinates of the first point on the line that has positive integer coordinates are ______.
- '(3, 6)' ✓

Loading worksheet ...

Loading presentation ...

By choosing pairs of values that satisfy the equation, you can draw it accurately.
For linear graphs, only two pairs of coordinates are required.
The distance between the points should not be too small.

A table of values should always be filled in and all points plotted in order to graph a linear equation.

A linear equation will form a straight line graph therefore we only need to know two points in order to draw the line.

Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.