To find the equation of a line that passes through the point (4, 3) with a slope of 1, you can use the point-slope form of the equation of a line, which is given by:
\[ y - y_1 = m(x - x_1) \]
where \( (x_1, y_1) \) is the point on the line, and \( m \) is the slope. In this case, \( (x_1, y_1) = (4, 3) \) and \( m = 1 \).
Substituting in these values, we get:
\[ y - 3 = 1(x - 4) \]
Simplifying this equation:
\[ y - 3 = x - 4 \]
Adding 3 to both sides:
\[ y = x - 4 + 3 \]
\[ y = x - 1 \]
So, the equation of the line that passes through the point (4, 3) with a slope of 1 is:
\[ y = x - 1 \]