Question

Here’s a graph of a linear function write the equation that describes that function

Answer 1

The equation y = (2/3)x - 1 describes the linear function.

Explanation:

We know for a line y = mx + c, m stands for gradient or the slope of line.

C stands for y- intercept by the line.

When we analyse the graph y- intercept is (-1)

So c = -1

and this line passes through two points (3, 1) and (6, 3)

Therefore the slope this line =
`((y-y'))/((x-x'))`

m =
`m=(3-1)/(6-3)=(2)/(3)`

So by putting these values in the equation we can get the original equation.

`y=(2)/(3)x-1`

Answer 2

ANSWER

`y = (2)/(3) x - 1`

EXPLANATION

The graph passes through (-3,-3) and has y-intercept -1.


The equation is


`y = mx - 1`


We determine the value of m by substituting
(-3,-3).


`- 3 = - 3m - 1`



`3m = 3 - 1`



`3m = 2`



`m = (2)/(3)`


The equation in slope intercept form is


`y = (2)/(3) x - 1`