Question

Determine a equação da reta e ache o coeficiente angular:
a) (1,-5) (2,-4)
b) (2,5) (-1,2)

Answer 1

$\left[\begin{array}{ccc}x&y&1\\1&-5&1\\2&-4&1\end{array}\right] \\ \\ -5x - 4 + 2y + 10 + 4x -y\\ | -x + y + 6 = 0 | \\ x-y-6=0 \\ \\ \\ y = x - 6 \\ \text{coeficiente linear = 1 (acompanha o valor x)}$

$\left[\begin{array}{ccc}x&y&1\\2&5&1\\-1&2&1\end{array}\right] \\ \\ 5x + 4 - y + 5 - 2x - 2y\\3x - 3y + 9 = 0\\ \\ 3y = 3x +9\\ y = \frac{3x}{3} + \frac{9}{3}\\ y = x+3 \\ \text{coeficiente angular = 1}$