Question

a line has a slope of 0 and passes through the point (7, 19). write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest 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.
We know that the slope $m = 0$. So the equation becomes $y=0\times x + b$, which simplifies to $y = b$.

Step2: Find the value of $b$

The line passes through the point $(7,19)$. Substitute $x = 7$ and $y = 19$ into the equation $y=b$.
Since for any $x$, $y=b$, when $x = 7$, $y = 19$, so $b = 19$.

Answer:

$y=19$