Question

find the y-intercept of the line through the point (-1, 10/3) with slope -1.

Answer 1

write the equation of this line first

Answer 2

$$
y=mx+b
$$
m is your slope
b is your y-intercept
We know the point <-1,10/3> and the slope, m=-1, so
$$
\cfrac{10}{3}=(-1)(-1) + b\\
b=\cfrac{10}{3}-1=\cfrac{10-3}{3}=\cfrac{7}{3}
$$
So
$$
y=mx+b\\
=-x+\cfrac{7}{3}
$$
This is in y-intercept form.

Make sense?