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

Solution:

Given, the points are (0, 2) and (1, 5)

We have to find the equation in point-slope form.

The slope of the line passing through two given point is found by

m = (y₂ - y₁)/(x₂ - x₁)

So, m = (5 - 2)/(1 - 0)

m = 3/1

m = 3

The equation of the line in point slope form is found by

(y - y₁) = m(x - x₁)

Using the point (0, 2)

(y - 2) = 3(x - 0)

y - 2 = 3x

Therefore, the equation of the line in point slope form is y - 2 = 3x.

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

Summary:

The equation in point-slope form of the line passing through (0, 2) and (1, 5) is y - 2 = 3x.