Question

$\huge\fbox\green{QUESTION}$

$\mathsf \blue{calculate \: the \: gradient}$
​

Answer 1

$\huge \fbox \orange{♧Answer♧}$

$\mathcal\blue{METHOD\:1}$

$\mathsf \purple{ - ( \frac{y}{x} )}$

$\mathsf \purple{ - ( \frac{ - 4}{5})}$

$\mathsf \purple{( \frac{4}{5} )}$

$\mathcal\blue{METHOD\:2}$

$\mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)}$

$\mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)}$

$\mathsf\purple{( \frac{4}{5})}$

$\mathcal\blue{METHOD\:3}$

$\mathsf\purple{m\:=\:rise\:÷\:run}$

$\mathsf\purple{m\:=\:( \frac{4}{5})}$

$\mathbb\pink{NOTE:}$

• The difference between the y-coordinates of the two points is called the rise.
• The difference between the x-coordinates of the same two points is called the run.
• The slope can be calculated by dividing the rise by run.