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ANSWER
[tex]y = \frac{2}{3} x - 1[/tex]

EXPLANATION

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


The equation is

[tex]y = mx - 1[/tex]


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

[tex] - 3 = - 3m - 1[/tex]


[tex]3m = 3 - 1[/tex]


[tex]3m = 2[/tex]


[tex]m = \frac{2}{3} [/tex]


The equation in slope intercept form is

[tex]y = \frac{2}{3} x - 1[/tex]

Answer:

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

Step-by-step 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 = [tex]\frac{(y-y')}{(x-x')}[/tex]

                                         m = [tex]m=\frac{3-1}{6-3}=\frac{2}{3}[/tex]

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

[tex]y=\frac{2}{3}x-1[/tex]

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