Linear Equations I
Hong Kong
Stage 4 - Stage 5
The Two Point Formula
Interactive practice questions
A line passes through the points $\left(4,-6\right)$(4,−6) and $\left(6,-9\right)$(6,−9).
a
Find the gradient of the line.
b
Find the equation of the line by substituting the gradient and one point into $y-y_1=m\left(x-x_1\right)$y−y1=m(x−x1).
Easy
4min
A line passes through the points $\left(-5,1\right)$(−5,1) and $\left(2,-34\right)$(2,−34).
Easy
3min
Find the equation of the line which passes through Point A $\left(8,1\right)$(8,1) and Point B $\left(-6,-2\right)$(−6,−2).
Use the two point formula and give your answer in gradient-intercept form.
Easy
4min
Use the two point formula to derive the equation of the line that passes through the points $A$A$\left(6,5\right)$(6,5) and $B$B$\left(-16,11\right)$(−16,11). Give your answer in general form.
Easy
5min
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