37. which equation passes through the points (0, -2) and (4, 10)?\na. 3x + y = -2\nb. x + 3y = -6\nc. -x +…
37. which equation passes through the points (0, -2) and (4, 10)?\na. 3x + y = -2\nb. x + 3y = -6\nc. -x + 3y = -6\nd. -3x + y = -2
Answer
Explanation:
Step1: Substitute (x = 0,y=-2) into each equation
- For option A: (3\times0+(-2)=-2), (LHS=-2,RHS = - 2)
- For option B: (0 + 3\times(-2)=-6), (LHS=-6,RHS=-6)
- For option C: (-0+3\times(-2)=-6), (LHS=-6,RHS=-6)
- For option D: (-3\times0+(-2)=-2), (LHS=-2,RHS=-2)
Step2: Substitute (x = 4,y = 10) into the equations that passed the first - step test
- Option A: (3\times4+10=12 + 10=22\neq-2)
- Option B: (4+3\times10=4 + 30=34\neq-6)
- Option C: (-4+3\times10=-4 + 30=26\neq-6)
- Option D: (-3\times4+10=-12 + 10=-2), (LHS=-2,RHS=-2)
Answer:
D. (-3x + y=-2)