Graph the equation by identifying the slope and $y$ -intercept, and using their definitions to find two points on the line.
$y = 2 x + 6$

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Answer

Final Answer: The two points on the line $y = 2 x + 6$ are $(0, 6)$ and $(1, 8)$ .

Steps

Step 1 ：The given equation is $y = 2 x + 6$ .

Step 2 ：This equation is in the form of $y = m x + c$ , where $m$ is the slope and $c$ is the y-intercept.

Step 3 ：Here, the slope $m$ is 2 and the y-intercept $c$ is 6.

Step 4 ：We can find two points on the line by substituting $x$ with any two values and solving for $y$ .

Step 5 ：Let's choose $x = 0$ and $x = 1$ for simplicity.

Step 6 ：When $x = 0$ , $y = 2 (0) + 6 = 6$ . So, the first point is $(0, 6)$ .

Step 7 ：When $x = 1$ , $y = 2 (1) + 6 = 8$ . So, the second point is $(1, 8)$ .

Step 8 ：Final Answer: The two points on the line $y = 2 x + 6$ are $(0, 6)$ and $(1, 8)$ .