A graph of y equals negative 2x + 3 is shown on the coordinate grid in the picture 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 = -2x + 3 is in slope-intercept form, we would start by plotting the y-intercept:
y = -2x + 3
y = -2(0) + 3
y = 3
Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.