graph the line with the equation $y=-x + 2$.
graph the line with the equation $y=-x + 2$.
Answer
Answer:
To graph the line (y = -x + 2), we can use the slope - intercept form (y=mx + b), where (m=-1) (the slope) and (b = 2) (the (y) - intercept).
Step1: Plot the (y) - intercept
The (y) - intercept is (b = 2). So, we plot the point ((0,2)) on the (y) - axis.
Step2: Use the slope to find another point
The slope (m=-1=\frac{\Delta y}{\Delta x}). Starting from the point ((0,2)), if (\Delta x = 1), then (\Delta y=-1). So, we move 1 unit to the right (increase (x) by 1) and 1 unit down (decrease (y) by 1) to get the point ((1,1)).
Step3: Draw the line
Connect the points ((0,2)) and ((1,1)) with a straight line. Extend the line in both directions to complete the graph of (y=-x + 2).