Two distinct pints (a,b) and (b,c) lie on the line y = -x + 5. What is the value of (a - c) ?

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01 Mar 2022 Geometry

Two distinct pints (a,b) and (b,c) lie on the line y = -x + 5. What is the value of (a - c) ?

OPtion

1) 2
2) -3
3) -1
4) 0
5) 1
6) b²
7) -2b
8) b
9) 2b
10) None of these

Solution

Since (a,b) and (b,c) lie on the line, the slope of the line is (c -b) / (b - a).
Equation of the line y = mx + b, where m=slope and b= y intercept
Given equation of line y = -x + 5 gives m=-1
.'. Slope of the line (c -b) / (b - a) = -1
c - b = -b + a
a - c = 0

Correct Option: 4 Best Solution (3)

Dr.Dipin Singh   2 years AGO

x+y=5
For point (a, b), a+b=5
For point (b, c), b+c=5
From these two eqyations,
a=c
a-c=0

Like? Yes (4) | No   

G.S.Kantharao   2 years AGO

Equation=y=-x+5
Points (a,b),(b,c)
Substituting
b=-a+5,c=-b+5
a+b=b+c=5
(a-c)=0
My option is 4👈

Like? Yes (4) | No   

Mayank Kandoi   2 years AGO

x + y = 5
Means that,
a + b = 5 .....(1)
b + c = 5 .....(2)
Subtract (2) from (1)
a - c = 0
Option 4

Like? Yes (2) | No