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How to find parallel and perpendicular equations?
Here's the equation: 6x-5y=11. I need to find equations that are parallel and perpendicular to this equation. I know you have to convert it to slope-intercept form, and I did, which got me y=6/5x-2 and 1/5, but I'm stuck on finding the other equations.
2 Answers
- Anonymous8 years agoFavorite Answer
A perpendicular equation has the same slope, but negative and reciprocated. So any equation with a slope of -5/6 will be perpendicular to the equation, irrespective of the y-intercept.
For a parallel equation, any equation with the same slope, but a different y-intercept will be parallel. So any equation with a slope of 6/5 as its y-intercept will do, as long as the y-intercept is anything other than -2.
- ?Lv 78 years ago
You're correct about the slope/intercept form, but normally you should just leave it as an improper fraction:
y = 6/5 x - 11/5
Equations whose graphs are parallel to this one have the same slope but different y-intercepts, so it's any equation of the form:
y = 6/5 x + some number
where the number can be anything other than 11/5.
Equations whose graphs are perpendicular to this one have a slope that is the negative reciprocal of this one's slope, which means the slope is -5/6. So that's any equation of the form:
y = -5/6 x + some number
where the number can be anything, including 11/5.