Final answer:
The equation for the line passing through the point (2, 1) with a slope of 3 is y = 3x - 5, found using the point-slope form.
Step-by-step explanation:
The relationship between two linear equations is determined by their slopes and y-intercepts. In the equation y = 3x + 2, the slope (m) is 3, meaning for every 1 unit increase in x, y increases by 3 units. This line has a y-intercept (b) at the point (0, 2). The second part of the question regards finding an equation for a line that passes through the point (2, 1) with a slope of 3. By using the point-slope form y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through, we get the equation of the line as y - 1 = 3(x - 2), which simplifies to y = 3x - 5.