Mathematics: Here s a graph of a linear function. write the equation that describes that function.

can you post the photo of this question please...

Here s a graph of a linear function. write the

deaishaajennings123

15.01.2022

$f(x)=\frac{1}{4}x-4$

Step-by-step explanation:

To find the equation of a linear function , we pick two points from the graph

LEts pick two points (0,-4) and (4,-3)

Equation of linear function is f(x)=mx+b

where m is the slope and b is the y intercept

$slope = \frac{y_2-y_1}{x_2-x_1}$

(0,-4) is (x1,y1) and (4,-3) is (x2,y2)

$slope m= \frac{y_2-y_1}{x_2-x_1}=\frac{-3+4}{4-0} =\frac{1}{4}$

y intercept is the point where the graph crosses y axis

y intercept b=-4

Linear function becomes

$f(x)=\frac{1}{4}x-4$

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