Chapter 8: Q32. (page 424)

Use the equation $x = 3 y^{2} + 4 y + 1$ to find the y-intercept.

Short Answer

Expert verified

The y-intercept of the equation $x = 3 y^{2} + 4 y + 1$ is $(0, - \frac{1}{3}) and (0, - 1)$ .

Step by step solution

Step 1. Write down the given information.

The given equation is $x = 3 y^{2} + 4 y + 1$ .

Step 2. Calculation.

The y-intercept of the equation $x = 3 y^{2} + 4 y + 1$ can be obtained by plugging $x = 0$ in $x = 3 y^{2} + 4 y + 1$ . Therefore,

$\begin{matrix} x = 3 y^{2} + 4 y + 1 (Given) \\ (0) = 3 y^{2} + 4 y + 1.... (Plugging x = 0) \\ 3 y^{2} + 4 y + 1 = 0 \\ (3 y + 1) (y + 1) = 0 \\ 3 y + 1 = 0 or y + 1 = 0 \\ y = - \frac{1}{3} or y = - 1 \end{matrix}$

Step 3. Conclusion.

The y-intercept of the equation $x = 3 y^{2} + 4 y + 1$ is $(0, - \frac{1}{3}) and (0, - 1)$ .

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Use the equation $x = 3 y^{2} + 4 y + 1$ to find the y-intercept.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Use the equation x=3y2+4y+1 to find the y-intercept.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Use the equation $x = 3 y^{2} + 4 y + 1$ to find the y-intercept.