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.
To find the slope of a line passing through two given points, you can use the slope formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Let's use the given coordinates (1, 5) and (4, 11) to find the slope:
m = (11 - 5) / (4 - 1)
= 6 / 3
= 2
So, the slope of the line passing through these coordinates is 2.
To write the equation of the line in point-slope form, we need to use one of the points and the slope. Let's choose the point (1, 5):
y - y₁ = m(x - x₁)
Plugging in the values, we get:
y - 5 = 2(x - 1)
This is the equation of the line in point-slope form.