select the correct answer. which equation represents the line that is parallel to y = 3 and passes through…

select the correct answer. which equation represents the line that is parallel to y = 3 and passes through (-2,-8)?\na. x = -2\nb. x = 3\nc. y = -8\nd. y = 3x - 2

select the correct answer. which equation represents the line that is parallel to y = 3 and passes through (-2,-8)?\na. x = -2\nb. x = 3\nc. y = -8\nd. y = 3x - 2

Answer

Explanation:

Step1: Analyze the slope of $y = 3$

The line $y=3$ is a horizontal line with a slope $m = 0$. A line parallel to it will also be horizontal and have a slope of $0$.

Step2: Determine the equation of the parallel line

The equation of a horizontal line passing through the point $(x_0,y_0)=(-2,-8)$ has the form $y = y_0$. Since $y_0=-8$, the equation of the line is $y=-8$.

Answer:

C. $y = - 8$