y = mx + b, where m is the slope -3 and b (unknown) is
the y-coordinate of the y-intercept.

y = -3x + b

It passes through (4,-1),

So the equation is true if we substitute x=4 and y=-1

-1 = -3(4) + b

-1 = -12 + b

11 = b

Now we substitute b = 11 in y = -3x + b

y = -3x + 11

That's the equation of the line

We get some points

x | y
0 |11
2 | 5
3 | 2
5 |-4



Edwin