Question

Find the slope of the line that passes through (2,12) and (4,7)

Answer 1

Slope = -5/2 OR = -2.5

Explanation:

Given co-ordinates:

• (2,12) and (4,7

We could easily find the slope through the formulae of slope, that is:

`\rm \: m(slope) = \cfrac{y_2 -y_1 }{x_2 - x_1}`

According to the question we can identify:

• 
  `\rm (y_2,y_1) = (7,12)`
• 
  `\rm (x_2,x_1) = (4,2)`

Plug the values into the slope formulae:

`\rm \: m = \cfrac{7 - 12}{4 - 2}`

`\rm \: m = \boxed{\cfrac{ - 5}{2}} = \boxed{ - 2.5}`

Therefore the slope is -5/2 or -2.5.

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Regards,Hannah