Given the coordinates (1, 5) and (4, 11).

Question

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.

Answer 1

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 $(1, 5)$:

\[y - 5 = 2(x - 1)\]