To find the intercepts of the line, we want to find where it crosses the x and y axis. We can find this by first finding the equation of the line using two of the points on the line:
(0,1) and (-1,-1)
We can find the slope using the formula:
y2-y1/x2-x1
=1- -1/0- -1
=2/1
=2
Then, we can plug in the slope and one of the points to find the equation of a line:
y=mx+b where m is the slope and b is the y-intercept
1=(2)(0) + b
1=b
y=2x+1
We know that the y-intercept is 1, based on the slope-intercept form of the equation. To find the x-intercept, we can plug in 0 for y and solve:
0=2x+1
-1=2x
x=-1/2
Therefore, the y-intercept is 1 and the x-intercept is -1/2
