Given the coordinates (1, 5) and (4, 11).
The slope of the line that passes through the coordinates is
.
Fill in the blanks to write the equation of the line in point-slope form.
The slope of the line that passes through the coordinates $(1, 5)$ and $(4, 11)$ is given by the formula:
\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\]
Substituting the values from the coordinates into the formula:
\[m = \frac{{11 - 5}}{{4 - 1}}\]
\[m = \frac{{6}}{{3}}\]
\[m = 2\]
The equation of the line in point-slope form is:
\[y - y_1 = m(x - x_1)\]
Substituting the values from the coordinates $(1, 5)$:
\[y - 5 = 2(x - 1)\]