The graph of y= -2x + 10 is: C. a line that shows the set of all solutions to the equation.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line refers to the general equation of a linear function and it is represented by this mathematical equation;
y = mx + b
Where:
- m represents the slope or rate of change.
- x and y are the points.
- b represents the y-intercept or initial value.
Since the given linear equation y = -2x + 10 is in slope-intercept form, we would start by plotting the y-intercept:
y = -2x + 10
y = -2(0) + 10
y = 10
Next, we would use an online graphing tool to plot the given linear equation for the values (solution set) in its domain using table, as shown in the graph attached below.