Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

ned and the
x-intercept
(-2,0).

ned and the $x$ -intercept $(-2,0)$ .

View step-by-step help

View step-by-step help

Evaluate rational exponents

Full solution

Q. ned and the

x

-intercept

(-2,0)

.

Identify Slope and X-Intercept: Identify the slope and the x-intercept from the problem statement. Slope $m = 3$ , x-intercept = $(-2,0)$ .
Use Slope-Intercept Form: Use the slope-intercept form of the equation of a line, $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. $\newline$ Here, $m = 3$ .
Calculate Y-Intercept: Calculate the y-intercept $b$ using the x-intercept point $(-2,0)$ . Substitute $x = -2$ and $y = 0$ into the equation $y = mx + b$ . $\newline$ $0 = 3*(-2) + b$ $\newline$ $0 = -6 + b$ $\newline$ $b = 6$
Write Final Equation: Write the final equation of the line using the values of $m$ and $b$ . $y = 3x + 6$

More problems from Evaluate rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 2 months ago

Question

\newline

(-32)^{1/5}

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 1 month ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 2 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 1 month ago

Question

\newline

32^{(-1/5)}

Posted 1 month ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 month ago