Mathematics: What is the function rule for the line? f(x)=−23x−2 f(x)=−32x+2 f(x)=−32x−2 f(x)=32x−2

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What is the function rule for the line? f(x)=−23x−2

erinleyanne

05.01.2022

$y=-\frac{2}{3}x-2$

Step-by-step explanation:

By the given graph,

The line is passes through (-3, 0) and (0, -2),

Since, the equation of the line passes through (x_1, y_1) and (x_2, y_2) is,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Thus, the equation of the line shown in the graph,

$y-0=\frac{-2-0}{0+3}(x+3)$

$y=-\frac{2}{3}(x+3)$

$y=-\frac{2}{3}x-2$

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