Question

`\huge\fbox\green{QUESTION}`


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

Answer 1

`\huge \fbox \orange{♧Answer♧}`

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

`\mathsf \purple{ - ( (y)/(x) )}`

`\mathsf \purple{ - ( ( - 4)/(5))}`

`\mathsf \purple{( (4)/(5) )}`

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

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

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

`\mathsf\purple{( (4)/(5))}`

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

`\mathsf\purple{m\:=\:rise\:÷\:run}`

`\mathsf\purple{m\:=\:( (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.