1 Answer

Qiang Li · Answer 1 · 2023-10-12T19:55:37+0000

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

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

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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 ❞

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