Find the solution set for the equation, given the replacement set.

y = –5x + 8; {(6, –11), (4, –12), (5, –9), (3, –14)}
a.
{(6, –11)}
c.
{(4, –12)}
b.
{(3, –14)}
d.
{(5, –9)}

c. {(4, -12)}

Step-by-step explanation:

It is convenient to rearrange the equation to standard form:

5x +y = 8

Then check the offered points.

(6, -11): 5·6 -11 = 19 ≠ 8

(4, -12): 5·4 -12 = 8 . . . . . . this is in the solution set

(5, -9): 5·5 -9 = 16 ≠ 8

(3, -14): 5·3 -14 = 1 ≠ 8