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.
Given the coordinates (1, 5) and (4, 11).
The slope of the line that passes through the coordinates is
3 answers
Fill in the blanks to write the equation of the line in point-slope form.
y−
=
(x−
)
y−
=
(x−
)
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)
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)