Question

a line has a slope of 0 and passes through the point (2, 8). 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 slope value

We are given that the slope $m = 0$. So the equation becomes $y=0\times x + b$, which simplifies to $y = b$.

Step3: Find the value of $b$

The line passes through the point $(2,8)$. Substitute $x = 2$ and $y = 8$ into the equation $y=b$ (since $y = 0x + b$ and $0\times2=0$). We get $8=b$.

Step4: Write the final equation

Substitute $m = 0$ and $b = 8$ into the slope - intercept form $y=mx + b$. We get $y=0x + 8$, which simplifies to $y = 8$.

Answer:

$y = 8$