Answer:
D : y = x + 2
Step-by-step explanation:
First you gotta find the slope of the line. So given to points on the line ( whichever you like ), you calculate the slope like that:
Let A(1,3) and B(2,4) be the two points.
[tex]slope = \frac{difference \: in \: x}{differece \: in \: y } \\ = \frac{y \: of \: a \: -y\: of \: b}{x \: of \: a \: - \: x \: of \: b} \\ = \frac{(3) - (4)}{(1) - (2)} = \frac{ - 1}{ - 1} = 1[/tex]
So the slope of the line is 1. The equation has the form : y = s x + b. Given that s = 1, we obtain,
y = x + b. Replace with the coordinates of a point you like, lets say A, and you get:
3 = 1 + b
b= 2
So the final answer is y = x + 2
