Karen Morrison and Nick Hamshaw Solutions for Exercise 3: Exercise 10.3

Calculate the gradient of the line. (Write the answer as a fraction in its simplest form)

Calculate the gradient of the line that passes through the following points. 

$A\left(1,2\right)$ and $B\left(3,8\right)$

Calculate the gradient of the line that passes through the following points. 

$A\left(0,6\right)$ and $B\left(3,9\right)$

Calculate the gradient of the line that passes through the following points. 

$A\left(2,-1\right)$ and $B\left(4,3\right)$

Calculate the gradient of the line that passes through the following points. 

$A\left(3,2\right)$ and $B\left(7,-10\right)$

Calculate the gradient of the line that passes through the following points. 

$A\left(-1,-4\right)$ and $B\left(-3,2\right)$

Calculate the gradient of the line that passes through the following points. (Write the answer as a improper fraction)

$A\left(3,-5\right)$ and $B\left(7,12\right)$

If the car climbs $60 \mathrm{m}$ vertically and the car have travelled horizontally $x \mathrm{m}$, find the value of $x$?