What is the equation of the line in slope-intercept form that passes through (−5,3) and (2,−4)?

Write an equation in slope-intercept form.
Explain your work using math vocabulary.
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the slope is m = (-4-3)/(2+5) = -1

so, start with the point-slope form.
y-3 = -1(x+5)
Now rearrange to y = mx+b