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Natali [406]
3 years ago
5

How can you tell if two equations for parallel lines or perpendicular lines. please explain?

Mathematics
2 answers:
kicyunya [14]3 years ago
5 0
To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular
sesenic [268]3 years ago
5 0
X + y = 7
<u>x -  y = 3</u>
   <u>2x</u> = <u>10</u>
    2      2
     x = 5
5 + y = 7
<u>-5       -5</u>
     y = 2
(x, y) = (5, 2)
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