First you use Pythagorean theorem to find LO is square root of 194(13^2 + 5^2)=13.9. Then use the same method to find OM (194+13^2=363, square root of 363 is 19.1) and get that OM is 19.1
-4x-3y-9=0
|| m1 = - ( - 4)/-3= - 4/3
_|_ m2 = -1/m1= 3/4
2x+4y-3=0
|| m1= -2/4= -1/2
_|_ m2= 2
12x-y-17=0
|| m1= -12/-1=12
_|_ m2 = -1/12
x-y=0
|| m1= -1/-1=1
_|_ m2= -1
8x - 3y - 2=0
|| m1= -8/-3= 8/3
_|_ m2 = -3/8
-2x + y - 5=0
|| m1= -(-2)/1=2
_|_ m2= -1/2
The line through (a,b) with slope m is
y-b = m(x-a)
Here that's
y + 1 = (3/4) (x - 2)
Let's multiply by 4 to clear the fractions and distribute the constants,
4y + 4 = 3x - 6
Rearranging into standard form,
3x - 4y = 10
Check. The slope is 3/4, good. 3(2) - 4(-1) = 6+4 = 10 good
Answer: 3x - 4y = 10
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Answer:
Step-by-step explanation:
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