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Find the Equation of the lines?
Has a slope of -3 and passes through the intersection of the lines 5x - y = 6 and x + y = 12
What steps do I take to get to the answer of 3x + y - 18 = 0
3 Answers
- ?Lv 78 years agoFavorite Answer
first you have to sole the simultaneous equations
5x - y = 6 and x + y = 12
5x - y = 6
x + y = 12
since you have +/-y, add
6x=18
x=3
x+y=12
y=9
gives you
(3,9)
the slope is -3
so you start with
y= -3x
to pass through the point
SUBTRACT the values of the point from their relative variable
(y-9)= -3(x-3)
y-9= -3x+9
y= -3x+18
- Mike GLv 78 years ago
1. Find the intersection point
x+ 5x-6 = 12
x = 3, y = 9
Point is (3,9)
2. Use point slope formula
y-9 = -3(x-3)
y-9 = -3x + 9
3x + y - 18 = 0
