How would I solve this 6x -y = 9 And my point are (-2,7) & (-1,8) And I have find out if it parallel , perpendicular , or neither please?
Mathematics · High School · Wed Jan 13 2021
Answered on
Given:
(-2,7) & (-1,8)
x1 = -2
x2 = -1
y1 = 7
y2 = 8
6x - y = 9
Determine if the lines are parallel, perpendicular or neither.
Solution:
To easily determine whether the lines are parallel or perpendicular, we do not need to equate the points to point-slope form and slope-intercept form, hence we only need to find the slope of the line. If the slope of the line is the same then we can conclude the answer
Formula for the slope of the line:
m = y2 - y1 / x2 - x1
m = 8 - 7/ -2 - (-1)
m = 1 / -1
m = -1
Since we have the slope of -1, this means that it is not parallel to the given line, nor it is perpendicular, since the other line has an increasing slope whereas the other does not.
Final answer:
The lines are neither perpendicular nor parallel.