How to solve the linear equation with the distance from the point m (4,3) being five and the intercept of the two coordinate axes being equal?

Let: the linear equation with equal intercept on two coordinate axes be: x + y = M
According to the formula of the distance between the point and the line
|4 + 3-m | / radical (1 + 1) = 5
|7-m | = 5 radical 2
M = 7-5 radical 2 or M = 7 + 5 radical 2
So the equation is: x + y = (+ / -) 5 root sign 2

It is known that the midpoint of △ ABC, AB side is D, e and f move on AC and BC side respectively. It is proved that s △ def ≤ s △ ade + s △ BDF

As shown in the figure, BG \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\deltaade + s delta BDF

It is known that the midpoint of △ ABC, AB side is D, e and f move on AC and BC side respectively. It is proved that s △ def ≤ s △ ade + s △ BDF

As shown in the figure, BG \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\deltaade + s delta BDF

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