1

Find the equation of the line passes through the points

\$ (7,-3) & (4,-9) \$

2

Consider given points as \$(x_1,y_1)\$ and \$(x_2,y_2)\$

\$ x_1=7 , y_1=-3 , x_2=4 & y_2=-9 \$

3

Equation of line passing through two points is

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

\$ (y -(-3)) = (-9 -(-3)) / (4 - 7)(x - 7) \$

4

Simplifying the equation

\$ (y + 3) = (-9 + 3) / (4 - 7)(x - 7) \$

\$=> (y + 3) = \cancel(-6)^2 / \cancel(-3)^1(x - 7) \$

\$=> (y + 3) = 2(x - 7) \$

\$=> y + 3 = 2x - 14 \$

\$=> 2x - y - 14 - 3 = 0 \$

\$ 2x - y - 17 = 0 \$

5

Answer

D = \$ 2x - y - 17 = 0 \$