I need toIs the following pair of lines parallel or perpendicular? Prove your answer.
2y – x = 2
y + 2x = 4
can you explain how to break this down ...
did you not understand my answer before?
This is my first asking I did not do this before?
Here's a link to your post asking the same question.
http://www.jiskha.com/display.cgi?id=1297213622
To determine whether the given pair of lines are parallel or perpendicular, we need to analyze their slopes. The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
Let's first rewrite the equations in slope-intercept form:
Equation 1: 2y - x = 2
Rearrange the equation to isolate y:
2y = x + 2
y = (1/2)x + 1
Equation 2: y + 2x = 4
Rearrange the equation to isolate y:
y = -2x + 4
Now we can compare the slopes of the two lines. The slope of Equation 1 is (1/2), and the slope of Equation 2 is -2.
If the slopes of two lines are equal, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular.
Let's analyze:
(1/2) * (-2) = -1
Since the product of the slopes is -1, we can conclude that the given pair of lines are perpendicular.
To summarize, we converted the equations to slope-intercept form, compared the slopes, and determined that the lines are perpendicular.