Question

Here's a graph of a linear function. Write the equation that describes that function.

Answer 1

`f(x)=(1)/(4)x-4`

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 = (y_2-y_1)/(x_2-x_1)`

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

`slope m= (y_2-y_1)/(x_2-x_1)=(-3+4)/(4-0) =(1)/(4)`

y intercept is the point where the graph crosses y axis

y intercept
`b=-4`

Linear function becomes

`f(x)=(1)/(4)x-4`