Answer:
C. {(2,–5), (5,–9), (29,–41)}
Step-by-step explanation:
we have
The slope of the given line is
we know that
If a set of ordered pairs is a solution of the given line
then
the slope between two points of the set must be equal to
The formula to calculate the slope between two points is equal to
<em>Verify each case</em>
case A) {(3,–19), (2,3), (8,26)}
so
The set of case A) is not a solution of the given line
case B) {(–3,–17), (4,11), (3,19)}
so
The set of case B) is not a solution of the given line
case C) {(2,–5), (5,–9), (29,–41)}
so
----> is true
Verify if the third point satisfy the equation of the given line
(29,–41)
------> is true
therefore
The set of case C) is a solution of the given line
case D) {(–2,–18), (9,–61), (5,15)}
so
The set of case D) is not a solution of the given line