Question

A line with a slope of – 1/6 passes through the points (1,3) and (7,f). What is the value of f?

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \tt \rightarrow \: f = 2`

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`\large \tt Solution \: :`

Let's consider two points (1 , 3) and (7 , f), now we can write the slope (m) of line in form of these points as :

`\qquad \tt \rightarrow \: m = \cfrac{y2 - y1}{x2 - x1}`

`\qquad \tt \rightarrow \: - (1)/(6) = (f - 3)/(7 - 1)`

`\qquad \tt \rightarrow \: - (7 - 1) = 6(f - 3)`

`\qquad \tt \rightarrow \: - 6 = 6(f - 3)`

`\qquad \tt \rightarrow \: f - 3 = - (6)/(6)`

`\qquad \tt \rightarrow \: f - 3 = - 1`

`\qquad \tt \rightarrow \: f = - 1 + 3`

`\qquad \tt \rightarrow \: f = 2`

Value of f is 2, so the point is : (7 , 2)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞