Write the equation of the graphed in NO SPACES ALL LOWERCASE
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The equation of the graphed is:

y = 3x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

where

Taking two points from the line

Determine the slope between (0, -2) and (1, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [1 - (-2)] / [1 - 0]

               = [1+2] / [1]

               = 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -2

Thus, the y-intercept b = -2

now substituting m = 3 and b = -2 in the slope-intercept form of line equation

y = mx+b

y = 3x + (-2)

y = 3x - 2

Therefore, the equation of the graphed is:

y = 3x - 2