Question

4 determine whether the straight air routes with equations $x - \frac{y}{2} = -3$ and $x = -5$ are intersecting or not. if they are intersecting, find the point of intersection.

Explanation:

Step1: Substitute $x=-5$ into first equation

Substitute $x=-5$ into $x-\frac{y}{2}=-3$:
$$-5-\frac{y}{2}=-3$$

Step2: Solve for $y$

Isolate the term with $y$:
$$-\frac{y}{2}=-3+5$$
$$-\frac{y}{2}=2$$
Multiply both sides by $-2$:
$$y=2\times(-2)=-4$$

Answer:

The lines are intersecting, and the point of intersection is $(-5, -4)$.