find the equation of the line passing through the points (6,3) and (-4,3).\ny = ?

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(6,3)$ and $(x_2,y_2)=(-4,3)$. Then $m=\frac{3 - 3}{-4 - 6}=\frac{0}{-10}=0$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(6,3)$ and $m = 0$, we have $y-3=0\times(x - 6)$.

Step3: Simplify the equation

$y-3=0$, so $y = 3$.

Answer:

$y = 3$