Answer:
y = -x + 1
Step-by-step explanation:
Given the points (2, -1) and (0, 1):
Let (x1, y1) = (2, -1)
(x2, y2) = (0, 1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = [1 - (-1)] /(0 - 2)
m = (1 + 1)/ -2
m = 2/-2 = -1
Therefore, the slope, m = -1.
Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.
Therefore, the linear equation of the graph in slope-intercept form is:
y = -x + 1
