$$ \begin{array}{l} ext { Which of the following points lies on the line represented by the equation } \ y-2=3(x+1) ext { ? point }\end{array} $$ $$ \begin{array}{l}(-2,8) \ (-1,2) \ (0,5)\end{array} $$ submit Clear selection Slear form

Question

$$ \begin{array}{l}	ext { Which of the following points lies on the line represented by the equation } \ y-2=3(x+1) 	ext { ? point }\end{array} $$ $$ \begin{array}{l}(-2,8) \ (-1,2) \ (0,5)\end{array} $$ submit Clear selection Slear form

UpStudy AI · Accepted Answer

To determine which of the given points lies on the line represented by the equation:

$$ y - 2 = 3(x + 1) $$

Let's first simplify the equation:

$$
\begin{align*}
y - 2 &= 3(x + 1) \
y - 2 &= 3x + 3 \
y &= 3x + 5
\end{align*}
$$

So, the equation of the line is:

$$ y = 3x + 5 $$

Now, let's check each point to see if it satisfies this equation.

1. **Point $$(-2, 8)$$:**
   $$
   y = 3(-2) + 5 = -6 + 5 = -1 \neq 8
   $$
   This point **does not** lie on the line.

2. **Point $$(-1, 2)$$:**
   $$
   y = 3(-1) + 5 = -3 + 5 = 2
   $$
   This point **lies** on the line.

3. **Point $$(0, 5)$$:**
   $$
   y = 3(0) + 5 = 0 + 5 = 5
   $$
   This point **lies** on the line.

**Conclusion:**

The points $$(-1, 2)$$ and $$(0, 5)$$ lie on the line represented by the equation $$ y - 2 = 3(x + 1) $$.
The points $$(-1, 2)$$ and $$(0, 5)$$ lie on the line.

submit Clear selection
Slear form

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions