Equation Of A Line

The formula for the equation of a line passing through two points

(x_1%2C%20y_1)

and

(x_2%2C%20y_2)

is:

%5Cfrac%7Bx%20-%20x_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7By%20-%20y_1%7D%7By_2%20-%20y_1%7D

Substitute the points

(3%2C%205)

and

(-4%2C%202)

into the equation:

%5Cfrac%7Bx%20-%203%7D%7B-4%20-%203%7D%20%3D%20%5Cfrac%7By%20-%205%7D%7B2%20-%205%7D

%5Cfrac%7Bx%20-%203%7D%7B-7%7D%20%3D%20%5Cfrac%7By%20-%205%7D%7B-3%7D

Now, cross-multiply:

3(x%20-%203)%20%3D%207(y%20-%205)

Simplifying:

3x%20-%209%20%3D%207y%20-%2035

3x%20-%207y%20%3D%20-26

Thus, the equation of the line is

3x%20-%207y%20%2B%2026%20%3D%200

Chapter Questions
1 MCQs