Answer:
y=x+3
Explanation:
The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= 3, y1= 6, x2= - 4, y2= - 1
so m = 1
Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).
b=6-(1)(3)
b=3
Finally, the equation of the line can be written in the form
y = mx+b
y=x+3