Question

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



The slope of the line that passes through the coordinates is

Answer 1

Fill in the blanks to write the equation of the line in point-slope form.

y−

=

(x−

)

Answer 2

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, the coordinates are (1, 5) and (4, 11). Using the formula, the slope is:

slope = (11 - 5) / (4 - 1)
= 6 / 3
= 2

Therefore, the slope of the line passing through the given coordinates is 2.

Answer 3

To write the equation of the line in point-slope form, we need to plug in the slope and one of the coordinates into the equation:

y - y1 = m(x - x1)

Using the slope we found earlier (m = 2) and one of the given coordinates (1, 5), we can substitute these values into the equation:

y - 5 = 2(x - 1)

Therefore, the equation of the line in point-slope form is:

y - 5 = 2(x - 1)