Final answer:
The inequality y < -x + 3 can be written in slope-intercept form as y = -x + 3, where the slope (m) is -1 and the y-intercept (b) is 3. A chart can be created by plugging in values for x to get corresponding y values.
Step-by-step explanation:
The student's question involves changing the inequality y < -x + 3 to slope-intercept form and then converting it into an equation. To accomplish this, we treat the inequality as if it were an equation, giving us y = -x + 3. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope (m) is -1, and the y-intercept (b) is 3.
To fill out a chart with different values of x and y for the given equation, we simply choose various values for x, substitute them into the equation, and solve for y. Assume a chart with columns for x and y, you select values for x, say -1, 0, 1, 2, for example. You then calculate the corresponding y values using the equation y = -x + 3. The points you would get are (x,y): (-1,4), (0,3), (1,2), and (2,1).