Given the graph above find an equation for the graph and write your anwser in slope intercept form

Given:

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

Slope:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

Substituting the coordinates in the above formula, we get;

Thus, the slope of the equation is

Value of y - intercept:

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is

Equation of the line:

The equation of the line can be determined using the formula,

Substituting the slope and the y - intercept

Thus, we get;

Thus, the equation of the line is

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step-by-step explanation: