a line has a slope of 0 and passes through the point (10, 6). write its equation in slope - intercept form…

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute the given slope

Given $m = 0$, the equation becomes $y=0x + b$, or simply $y = b$.

Step3: Find the y - intercept

The line passes through the point $(10,6)$. Substitute $x = 10$ and $y = 6$ into $y=b$. Since $y$ is constant for a line with slope $m = 0$, when $y = 6$, $b = 6$.

Answer:

$y=6$