Question

(2,6) and (x,2) ;slope 4/7

Answer 1

`(6 - 2)/(2 - x) = (4)/(7) \\`

`(4)/(2 - x) = (4)/(7) \\`

Divided sides by 4

`(4)/(2 - x) / 4 = (4)/(7) / 4 \\`

`(4)/(2 - x) * (1)/(4) = (4)/(7) * (1)/(4) \\`

`(1)/(2 - x) = (1)/(7) \\`

Multiply sides by 7

`7 * (1)/(2 - x) = 7 * (1)/(7) \\`

`(7)/(2 - x) = 1 \\`

Multiply sides by ( 2 - x )

`(2 - x) * (7)/(2 - x) = 1 * (2 - x) \\`

`7 = 2 - x`

Plus sides by x

`7 + x = 2 - x + x`

`x + 7 = 2`

Subtract sides -7

`x + 7 - 7 = 2 - 7`

`x = - 5`

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Done ♥️♥️♥️♥️♥️