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jilliandantuma84
23.11.2020 •
Mathematics
-4y=-2x+8 and 3x-6y=6
Perpendicular, parallel, or neither?
Solved
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Ответ:
The two lines are parallel
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsThe product of the slopes of the perpendicular lines is -1 which means if the slope of one is m, then the slope of the other isLet us use these rules to solve the question
∵ The 1st equation is -4y = -2x + b
∴ a = -2 and b = -4
∵ m =
in this form of the equation
∴ m =![\frac{-2}{-4}](/tpl/images/0923/0195/fa9a0.png)
∴ m1 =![\frac{1}{2}](/tpl/images/0923/0195/9cdae.png)
∵ The 2nd equation is 3x - 6y = 6
∴ a = 3 and b = -6
∵ m =
in this form of the equation
∴ m =![\frac{-3}{-6}](/tpl/images/0923/0195/56e60.png)
∴ m2 =![\frac{1}{2}](/tpl/images/0923/0195/9cdae.png)
∵ m1 = m2
∴ The slopes of the two lines are equal
→ That means the two lines are parallel
∴ The two lines are parallel
Ответ: