The equation of a line in slope-intercept form is equal to
y=mx+b
where
m is the slope
b is the y-intercept
we have
m=-5/2
point (4,-3)
substitute in the expression above
-3=-(5/2)(4)+b
solve for b
-3=-10+b
b=10-3
b=7
therefore
the equation of the line is
y=-(5/2)x+7