Which equation represents a line which is parallel to the line y, equals, start fraction, 2, divided by, 3, end fraction, x, minus, 6y= 32 x−6?
Question
Which equation represents a line which is parallel to the line
y = \frac{2}{3}x - 6y = 32?
Solution
The equation you provided seems to be a bit mixed up. However, if the equation is y = 2/3x - 6, then any line parallel to this would have the same slope, which is 2/3.
So, the equation of a line parallel to y = 2/3x - 6 could be y = 2/3x - 4, y = 2/3x + 5, y = 2/3x + 1, etc. The "-4", "+5", "+1", etc. are the y-intercepts and can be any real number. The key is that the slope (2/3) remains the same because parallel lines always have the same slope.
Similar Questions
Which equation represents a line which is parallel to the line 3, x, minus, y, equals, 63x−y=6?
Write the equation of a line that goes through the point ( 6 ,6 ) and is parallel to the line y = 1 / 3x - 4.
A line has a y-intercept of 5 and is parallel to the line represented by the equation 2x + 3y = 9. Which of the following equations represents the line?
Which equation represents the line that passes through the points (4, 6) and (−2, −1)? Select one:highlight_offhighlight_offhighlight_offhighlight_off
What is the equation of the line that passes through the point (6,-8) and has a slope of -5/6
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.