Question

a line has a slope of 0 and passes through the point (3, 7). 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.

Step2: Substitute the given slope

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

Step3: Find the value of $b$

The line passes through the point $(3,7)$. Substitute $x = 3$ and $y = 7$ into $y=b$. Since $y$ is constant for all $x$ when $m = 0$, we get $b = 7$.

Answer:

$y = 7$