Question

Please find the question attached below
(thank you for your help)
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Answer 1

Explanation:

AI-generated answerTo determine the value of B, we can substitute the given point (2, -4) into the equation of the line, 3x + By + 18 = 0. By substituting the x-coordinate 2 and the y-coordinate -4 into the equation, we can solve for B. Let's substitute x = 2 and y = -4 into the equation: 3(2) + B(-4) + 18 = 0 Simplifying this equation gives us: 6 - 4B + 18 = 0 Combining like terms gives: 24 - 4B = 0 Next, we isolate the term with B: -4B = -24 To solve for B, we divide both sides of the equation by -4: B = -24 / -4 Simplifying the right side gives: B = 6 Therefore, the value of B is 6.

Answer 2

B = 6

Explanation:

To find the value of B if the line 3x + By + 18 = 0 passes through the point (2, -4), substitute x = 2 and y = -4 into the equation of the line and solve for B:

`\begin{aligned}3x + By + 18 &= 0\\\\(2,-4) \implies 3(2)+B(-4)+18&=0\\\\6-4B+18&=0\\\\-4B+24&=0\\\\-4B+24-24&=0-24\\\\-4B&=-24\\\\(-4B)/(-4)&=(-24)/(-4)\\\\B&=6\end{aligned}`

Therefore, the value of B is 6.