I can draw a linear graph from its equation and relate the features of the graph to its equation.
I can draw a linear graph from its equation and relate the features of the graph to its equation.
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.
Only two pairs of coordinates are needed to plot a linear graph.
Whilst true, this can cause issues if one pair of coordinates is calculated incorrectly. Encourage pupils to check a third point to ensure they are correct.
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A - (4, -2)
B - (2, -4)
C - (-2, -4)
D - (-4, -2)
E - (-4, 2)
F - (-2, 4)
$$y = 10-8x$$ - gradient -8 and $$y$$-intercept (0, 10)
$$y = 8x + 10 $$ - gradient 8 and $$y$$-intercept (0, 10)
$$y =10x - 8 $$ - gradient 10 and $$y$$-intercept (0, -8)
$$y = 8 - 10x $$ - gradient -10 and $$y$$-intercept (0, 8)
$$y =8x - 10 $$ - gradient 8 and $$y$$-intercept (0, -10)
