Question

write the following equation in slope - intercept form and identify the slope and y - intercept of the line. y - 12 = 0 the equation of the line is y = 12. (simplify your answer.) the slope of the line is 0. the y - intercept of the line is (type an ordered pair.)

Explanation:

Step1: Rearrange to slope - intercept form

The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $y-12 = 0$, we can rewrite it as $y=0x + 12$.

Step2: Identify the slope

In the equation $y = 0x+12$, the coefficient of $x$ is the slope. So, $m = 0$.

Step3: Identify the y - intercept

The y - intercept is the value of $y$ when $x = 0$. In the equation $y=0x + 12$, when $x = 0$, $y=12$. So the y - intercept as an ordered pair is $(0,12)$.

Answer:

The equation of the line is $y = 12$.
The slope of the line is $0$.
The y - intercept of the line is $(0,12)$