Question

The function f(x) is shown in the graph.

What is the equation for f(x)?



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f(x)= [ ]

Answer 1

f(x)=5/6x-1


slope of 5/6
y intercept of -1

Answer 2

f(x) = (5/-6)x - 1

Step-by-step explanation

The first step is to calculate the slope of the graph.

Slope = (change in y) / (change in x)

= (4 - -1)/(-6 - 0)

= 5/-6

Using a point (0, -1) and a general point (x, y)

slope = 5/-6

(y - -1)/(x - 0) = 5/-6

(y + 1)/x = 5/-6

y + 1 = (5/-6)x

y = (5/-6)x - 1

∴ f(x) = (5/-6)x - 1