Answer:
y -1 = -5/4(x +4)
Explanation:
You want the equation of the line with slope -5/4 through point (-4, 1).
Point-slope form
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Using the given values, the equation is ...
y -1 = -5/4(x +4) . . . . . . line with slope -5/4 through point (-4, 1)
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Additional comment
In slope-intercept form the equation is ...
y = -5/4x -4
The graph shows us the y-intercept is -4.
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