Posted by sharon on Friday, July 11, 2014 at 8:19pm.
y = -7x - 9, -3y = 21x + 7
without graphing, tell whether the graphs of each pair of equations are perpendicular.
- Alegbra - Barry, Friday, July 11, 2014 at 8:33pm
the first equation
y = -7x - 9
the second equation
-3y = 21x + 7
y = -7x -(7/3)
To determine whether the two lines are perpendicular
slope of equation 1 X slope of equation 2 must be -1.
But in this case,
slope of equation 1 X slope of equation 2 = 49 instead of -1
so the two lines are not perpendicular.
(However, slope of equation 1 = slope of equation 2 and the y-intercept of the two equations are not the same, so we know that the two lines are parallel to each other.)
Hope it helps!
Wishing you the best of luck,
- Alegbra - Steve, Friday, July 11, 2014 at 8:34pm
the slopes are the same, so they are either parallel or the same line.
If you multiply the 1st by -3, the constant term is different from 7, so the lines are parallel.
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