Answer:
a = - 2 , b = 8
Step-by-step explanation:
Since the points p and q lie on the graph then they satisfy the equation
(6, 4 ) , substitute x = 6 , y = 4 into the equation
6a + 4b = 20 → (1)
(2, 3 ) , substitute x = 2, y = 3 into the equation
2a + 3b = 20 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate a
- 6a - 9b = - 60 → (3)
add (1) and (3) term by term to eliminate a
0 - 5b = - 40
- 5b = - 40 ( divide both sides by - 5 )
b = 8
Substitute b = 8 into either of the 2 equations and solve for a
Substituting into (1)
6a + 4(8) = 20
6a + 32 = 20 ( subtract 32 from both sides )
6a = - 12 ( divide both sides by 6 )
a = - 2
