18.1k views
5 votes
Which equation represents a line which is parallel to the line y=-(1)/(2)x+8?

User Milo Chen
by
7.9k points

1 Answer

5 votes

Final answer:

A line parallel to y = -(1/2)x + 8 will have the same slope of -1/2, but can have a different y-intercept, so its equation is y = -(1/2)x + b, where b is the y-intercept.

Step-by-step explanation:

To find an equation of a line that is parallel to the given line y = -(1/2)x + 8, we need to find a line that has the same slope. The slope of the given line is -1/2. Since parallel lines have identical slopes, any line that has a slope of -1/2 will be parallel to the given line. However, the y-intercept can be different. Therefore, the general form of the equation of a line parallel to y = -(1/2)x + 8 is y = -(1/2)x + b, where b is any real number representing the y-intercept.

User Zufar Muhamadeev
by
7.4k points