Final answer:
To draw a line passing through the point (0,2) with a slope of -1, use the point-slope form of a linear equation.
Step-by-step explanation:
To draw a line passing through the point (0,2) with a slope of -1, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). In this case, x1 = 0, y1 = 2, and m = -1. Plugging in these values, we get the equation y - 2 = -1(x - 0), which simplifies to y - 2 = -x. To graph this line, start at the point (0,2) and use the slope (-1) to find another point. Since the slope is the ratio of the vertical change to the horizontal change, we can go down 1 unit and to the right 1 unit from (0,2) to get the point (1,1). Connect these two points to draw the line.