Answer:
b. y = x - 3
Step-by-step explanation:
The general form of the equation of the line is y = mx + c.
1) Find for m (gradient) using the following formula:
m = y2 - y1 / x2 - x1
Substitute the values into it and solve for m.
m = 2 - 1 / 5 - 4
m = 1 / 1
m = 1
2) Substitute into m of the y = mx + c.
y = 1x + c
3) Choose one the coordinates that the line goes through ((4, 1) or (5, 2)) to find c (y-intercept). I will choose (4, 1). Then, substitute your chosen coordinates into your newfound equation (y = 1x + c)
1 = 1(4) + c
1 = 4 + c
1 - 4 = c
-3 = c
Substitute -3 in place of c.
y = 1x - 3, which can be simplified to y = x - 3. Therefore, the correct choice is b.
