The function f(x) = -2x + 3 is a linear equation, which means it graphs as a straight line. In this equation, -2 is the slope, indicating that for every increase of 1 in x , the value of f(x) decreases by 2. The +3 represents the y-intercept, meaning the line crosses the y-axis at the point (0, 3) . To visualize this function, you can plot points by substituting different values for x . For example, if x = 0 , then f(0) = 3 . If x = 1 , then f(1) = 1 . Connecting these points will show a downward-sloping line, reflecting the negative slope of the function.