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Рассмотрим левую прямую f(x) = ax + b:

Тангенс угла наклона равен

$\frac12\Rightarrow a=0,5$

Для точки (-1; 4): 4 = 0,5 * (-1) + b ↔ b = 4,5
f(x) = 0,5x + 4,5

Рассмотрим правую прямую g(x) = kx + c:

Тангенс угла наклона равен

$\frac32\Rightarrow k=1,5$

Для точки (3; -1):

$-1=\frac32\cdot3+c\Leftrightarrow c=-5,5$

g(x) = 1,5x - 5,5

Графики пересекаются, когда f(x) = g(x):

$0,5x+4,5=1,5x-5,5\Leftrightarrow x=10$ 48:{"original_url":"https://storage.yandexcloud.net/egehub/public/776805/xROJAaiT4TVwNm1CfpuKJtAEq4ygpFHyqpoUsCEs.png","small_url":"https://storage.yandexcloud.net/egehub/public/776805/conversions/xROJAaiT4TVwNm1CfpuKJtAEq4ygpFH

Задание №3153 ЕГЭ по Математике