Question

what is the equation of the line that passes through the point (4, 6) and has a slope of 0? answer

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here $x_1 = 4$, $y_1=6$ and $m = 0$.

Step2: Substitute values

Substitute the values into the point - slope form: $y - 6=0\times(x - 4)$.

Step3: Simplify the equation

Since $0\times(x - 4)=0$, the equation simplifies to $y=6$.

Answer:

$y = 6$