Question

Slope of line a is ½. What is the equation of a line that is parallel to line a? Y+½x=2 -2x+y+2=0 2x-2=y -½x+y-2=0

Answer 1

Answer:

The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

Step-by-step explanation:

A line is a polynomial function of the first degree that has the following form:

y = m * x + b

where m is the slope of the line and b is the intercept with the Y axis.  The slope is the inclination of the line with respect to the abscissa axis.

In this case you know that the slope of line a is ½.  

Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.

You have:

• y+½x=2       →       y= -½x +2
• -2x+y+2=0       →       y=2x -2
• 2x-2=y      

• -½x+y-2=0       →       y=½x + 2

The line that has the same slope as line a is the last one, so the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0