grade 10 (state the equation of a line) question My question is : state the equation of the line that is parallel to the line defined by y=7 that passes through (-4,-6).
I didn't understand this question!!
 A: First, what does $y=7$ look like? Plot some points whose $y$-coordinate is $7$ to get an idea, maybe $(0,7)$, $(1,7)$, $(100,7)$, $(-23,7)$.
Now that you know what $y=7$ looks like, look at the point in the question, $(-4,-6)$. You want to draw another line that is parallel (think train tracks) to your first line, but goes through $(-4,-6)$. Draw what you think it should be, and think about what the equation for that line will be. Hint: it will look similar to the equation of the first line.
A: The line $y=7$ is parallel to the $x$-axis. Notice how $x$ does not appear in the equation $y=7$. This means that for any value of $x$, the value of $y$ is 7. So it's a flat line.
Now, any line parallel to this one will also be a flat line.
If the value of the new line at $x=-4$ is $y=-6$, and the line is flat, what must the value of $y$ be at any other value of $x$?
A: The line defined by $y=7$ is a horizontal line. Any other horizontal line will be paralel to it, so the line you are looking for will be defined as $y=C$ for some $C$. Since it will pass through $(-4,-6)$, it's easy to determine $C$.
