Step 1a

Given points.

Explanation: Given points \$(2,3)\$ and orign \$(0,0)\$

Let \$A(2,3) and B(0,0)\$.

Step 1b

Equation of a line passes through two points.

Explanation: Equation of a line passes through two points \$A(x_1,y_1) and B(x_2,y_2)\$ is \$(y - y_1) = (y_2 - y_1)/(x_2 - x_1) (x - x_1)\$.

Here \$x_1 = 2, y_1 = 3, x_2 = 0\$ and \$ y_2 = 0\$.

Step 1c

Substitute the points in the line equation formula.

Explanation:

\$(y - y_1) = (y_2 - y_1)/(x_2 - x_1) (x - x_1)\$

\$=> (y - 3) = (0 - 3)/(0 - 4) (x - 2)\$

\$=> (y - 3) = (-3)/-4(x - 2)\$

\$=> (y - 3) = 3/4 (x - 2)\$

\$=> 4(y - 3) = 3(x - 2)\$

\$=> 4y - 12 = 3x - 6\$

\$=> 3x - 4y = -12 + 6\$

\$=> 3x - 4y = -6\$

\$=> 3x - 4y + 6 = 0\$.