Solve the equation of the line in slope-intercept form of the line perpendicular to $y=\frac{1}{3}x+5$ through (2, 1)

Mutignaniz2
2022-09-12
Answered

Solve the equation of the line in slope-intercept form of the line perpendicular to $y=\frac{1}{3}x+5$ through (2, 1)

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I have a set of linear equations, of the form Ax=b . However, the value of b depends on the sign of the solution of x, such that

$b}_{i}={c}_{i}+{d}_{i$ if ${x}_{i}>0$ , and $b}_{i}={c}_{i}-{d}_{i$ if ${x}_{i}<0$ .

I could solve this by trying each combination of positiveness of x, but that would require solving$2}^{N$ sets of linear equations, which becomes unfeasible quite quickly.

Is this solvable analytically?

I could solve this by trying each combination of positiveness of x, but that would require solving

Is this solvable analytically?

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