A graph of the linear equation y = -x + 1 is shown on the coordinate plane in the image attached below.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
- m represent the slope or rate of change.
- x and y are the points.
- b represent the y-intercept or initial value.
Since the given linear function y = -x + 1 is in slope-intercept form, we would start by plotting the y-intercept:
y = -x + 1
y = -(0) + 1
y = 1
Next, we would use an online graphing tool to plot the given linear equation for the values in its domain using table, as shown in the graph attached below.