Final answer:
The linear equation that produces a y-intercept of (0, 3) and a slope of -2 is y = -2x + 3.
Step-by-step explanation:
To find the linear equation that produces a y-intercept of (0, 3) and a slope of -2, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Substituting the given values, we have y = -2x + 3. This is the linear equation that satisfies the given conditions.
For example, if we substitute x = 1 into the equation, we get y = -2(1) + 3 = 1, which means that the point (1, 1) lies on the line.