Question

find the equation of the straight line which passes through the points (0,1) and (3,13)

Answer 1

Given : A straight line passes through the points (0, 1) and (3, 13).

To find : Equation of the straight line.

Solution :

We will use two point form of straight line to find the required equation.

Two point form is given by,

• $\boxed{ \rm y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)}$

Here,

• (x1, y1) = (0, 1)
• (x2, y2) = (3, 13)
• x and y are variables

By substituting the known values, we have:

$\rm \implies y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1} (x - x_1)$

$\rm \implies y - 1 = \dfrac{13 - 1}{3 - 0} (x - 0)$

$\rm \implies y - 1 = \dfrac{12}{3 } (x )$

$\rm \implies y - 1 =4x$

$\rm \implies 4x - y + 1 = 0$

Hence this is the required equation of straight line.

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