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The slope-intercept form is y = mx + b.
First find the slope.
m = (y1-y2)/(x1-x2)
m = (-2-5)/(-4-1)
m = -7/-5
m = 7/5

looking for b.
y = mx+b
5 = (7/5)(1) + b
5 = (7+5b)/5
25 = 7+5b
18 = 5b
b = 18/5

so the slope-intercept equation is
y = (7/5)x + (18/5)

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