Final answer:
To draw a line with a given slope and point, and write its equation in point-slope form, use the point-slope formula with the provided point and the slope from Figure A1. For instance, with point (-3, 3) and slope 3, the equation of the line is y - 3 = 3(x + 3).
Step-by-step explanation:
The question asks to draw the slope of a line using a provided point and to write the equation of the line in point-slope form. Given the point (-3, 3), and using the general point-slope formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope, one can create an equation once the slope is known.
According to Figure A1, if we have a slope (m) of 3 (which means there is a rise of 3 units for every 1 unit run), we can insert this value into the point-slope formula along with our given point (-3, 3) to get the equation of the line as y - 3 = 3(x + 3). The formula is specified in the provided point to show that x1 is -3 and y1 is 3. Hence, the plus sign inside the parenthesis because when substituting -3 for x1, we need to change its sign.