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

Тангенс угла наклона равен

$\frac32\Rightarrow a=1,5$

Для точки (-4; 2): 2 = 1,5 * (-4) + b ↔ b = 8
f(x) = 1,5x + 8

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

Тангенс угла наклона равен

$-\frac52\Rightarrow k=-2,5$

Для точки (4; 1):

$1=-\frac52\cdot4+c\Leftrightarrow c=11$

g(x) = -2,5x + 11

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

$1,5x+8=-2,5x+11\Leftrightarrow 4x=3\Leftrightarrow x=\frac34\Rightarrow f(\frac34)=g(\frac34)=9,125$ 48:{"original_url":"https://storage.yandexcloud.net/egehub/public/776805/xROJAaiT4TVwNm1CfpuKJtAEq4ygpFHyqpoUsCEs.png","small_url":"https://storage.yandexcloud.net/egehub/

Задание №3158 ЕГЭ по Математике