The format of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.
We can clearly identify the y-intercept as 1. The y-intercept is where the line crosses the y-axis, which is where x=0. Therefore, the answer must be B or C because the y-intercept in those equations is 1 (in A it is -2 and in D it is -1).
The slope of a line is the rate of change. The formula to find the slope of a line is (y2-y1)/(x2-x1)=m. We can pick any two coordinate pairs from the table; we'll use (0, 1) and (1, -1). This makes x1=0, x2=1, y1=1, and y2=-1. Plug in and solve:
(-1-1)/(1-0)=m
-2/1=m
-2=m
C. y=-2x+1
Hope this helps!!
