A line passes through (x₁, y₁) and (h, k) . If slope of the line is m, show that k - y₁ = m (h - x₁)

Solution:

The slope of the line passing through (x₁, y₁) and (h, k) is (k - y₁)/(h - x₁)

It is given that the slope of the line is m

Therefore,

(k - y₁)/(h - x₁) = m

k - y₁ = m (h - x₁)

Hence, k - y₁ = m (h - x₁) proved

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.1 Question 12

A line passes through (x₁, y₁) and (h, k) . If slope of the line is m, show that k - y₁ = m (h - x₁)

Summary:

If a line passes through (x₁, y₁) and (h, k) whose slope is m, then we have shown that k - y₁ = m (h - x₁)