what is the y intercept of the line that has a slope of -1/2 and passes through the point (2,3)
step 1
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-1/2
point (2,3)
substitute
3=(-1/2)(2)+b
solve for b
3=-1+b
b=4
so
y=(-1/2)x+4
the y-intercept is the point (0,4)