Answer:
y = -4/5x -8/5
Explanation:
You want the slope-intercept equation of the line shown in the graph.
Points
It is easier to write the equation if we know some grid points that the line crosses. Here, we believe the best choice of such points to be ...
(-2, 0) and (3, -4)
Slope
The slope of the line can be found from ...

Equation
Using the point-slope form of the equation for a line, we can solve for the slope-intercept form.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -0 = -4/5(x +2) . . . . . . . line with slope -4/5 through point (-2, 0)
y = -4/5x -8/5 . . . . the desired equation
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