Question

Напишите уравнение прямой проходящей через точки е(-5; -3) и к(6; 7)

Answer 1

$y = kx + c\\\\ -3 = -5k + c\\ 7 = 6k + c \ | *-\frac{5}{6}\\\\ -3 = -5k + c\\ -\frac{35}{6} = -5k -\frac{5}{6}c\\\\ -3+\frac{35}{6} = c+\frac{5}{6}c\\\\ \frac{17}{6} = \frac{11}{6}c\\\\ \frac{17}{11} = c\\\\ -3 = -5k + \frac{17}{11} \ | * 11\\\\ -33 = -55k + 17\\\\ -50 = -55k\\\\ \frac{50}{55} = \frac{10}{11}k\\\\ y = \frac{10}{11}x + \frac{17}{11}\\\\ \fbox{11y = 10x + 17}$