The formula to calculate the endpoint of a line is:
\[ Y = kx + b \]
where \( X \) and \( Y \) are coordinate points, \( k \) is the slope, and \( b \) is a constant.
An endpoint is defined as the final point along a finite line in the coordinate space. In this context, the formula above is actually the point-slope form of a line. To calculate the endpoint of a line of this form, you only need to know either the x or y coordinate of the endpoint, and the formula can solve for the other coordinate.
Let's assume we have the following values:
Step 1: Multiply the slope by the x-coordinate:
\[ kx = 3 \times 2 = 6 \]
Step 2: Add the value of \( b \):
\[ Y = 6 + 1 = 7 \]
Therefore, the endpoint of the line is \( (2, 7) \).
