Final answer:
The equation of the line that passes through the points (2,4) and (-1,1) is y = x + 2, by first finding the slope of 1 and then using the point-slope form of the equation with one of the given points.
Step-by-step explanation:
To write the equation of the line in slope-point form that passes through the points (2,4) and (-1,1), we first need to calculate the slope (m) of the line. The slope formula is m = (y2 - y1) / (x2 - x1). Using our points, this would be (1 - 4) / (-1 - 2) = -3 / -3 = 1. With the slope of 1, we can now use either point to write the equation of the line using the point-slope form, y - y1 = m(x - x1). Using point (2,4), the equation is y - 4 = 1(x - 2), which simplifies to y - 4 = x - 2, and then to y = x + 2.
Therefore, the equation of the line in slope-point form is y = x + 2, which corresponds to option A.