Answer:
y = 1/2x +1/2
Step-by-step explanation:
I find it easier to write the equation if I can find grid intersection points where the line crosses. Here, a couple of them are (1, 1) and (3, 2).
The slope can be found from ...
m = (y2 -y1)/(x2 -x1)
m = (2 -1)/(3 -1) = 1/2
The y-intercept can be found from ...
b = y -mx
b = 1 -(1/2)(1) = 1/2 . . . . . . using (x, y) = (1, 1)
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +1/2
In standard form, the equation can be written as ...
x -2y = -1 . . . . . multiply by 2; subtract y+1 from both sides
