What is the equation in point slope form of the line passing through (0, 2) and (1, 5)?

To find the equation in point-slope form, we first need to determine the slope of the line that passes through the points (0, 2) and (1, 5).

The slope (m) is calculated using the formula:

m = (y₂ – y₁) / (x₂ – x₁)

Substituting in our points:

m = (5 – 2) / (1 – 0) = 3 / 1 = 3

Now that we have the slope, we can use one of the points to write the equation in point-slope form, which is:

y – y₁ = m(x – x₁)

Using the point (0, 2):

y – 2 = 3(x – 0)

So, the equation in point-slope form is:

y – 2 = 3x

This represents the line that passes through the points (0, 2) and (1, 5).