Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+18 y=18 Answer:$

Put the following equation of a line into slope-intercept form, simplifying all fractions. $\newline$ $3 x+18 y=18$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Find the inverse of a linear function

Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.

\newline

3 x+18 y=18

\newline

Answer:

Isolate y-term: Isolate the y-term on one side of the equation. $\newline$ To do this, we will subtract $3x$ from both sides of the equation $3x + 18y = 18$ . $\newline$ Calculation: $3x + 18y - 3x = 18 - 3x$ $\newline$ Simplifying, we get $18y = 18 - 3x$
Divide by coefficient: Divide all terms by the coefficient of $y$ to solve for $y$ . The coefficient of $y$ is $18$ , so we divide each term by $18$ . Calculation: $(18y)/18 = (18 - 3x)/18$ Simplifying, we get $y = 1 - (3x/18)$
Simplify fraction: Simplify the fraction in the equation. $\newline$ We simplify the fraction $\frac{3x}{18}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ Calculation: $\frac{3x}{18} = \left(\frac{3}{3}\right)x/\left(\frac{18}{3}\right)$ $\newline$ Simplifying, we get $\frac{x}{6}$ $\newline$ Now the equation is $y = 1 - \frac{x}{6}$
Rewrite in slope-intercept form: Rewrite the equation in slope-intercept form. $\newline$ The slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. $\newline$ Our equation is $y = 1 - \frac{x}{6}$ , which can be rewritten as $y = -\frac{1}{6}x + 1$ to match the slope-intercept form.

More problems from Find the inverse of a linear function

Question

Find the inverse of the function.

y = x + 3

Write your answer in the form

ax + b

. Simplify any fractions.

y =

Posted 5 months ago

Question

(r \circ s)(x)

\newline

3

\newline

2

5

\newline

Write your answer as a polynomial in simplest form.

\newline

(r \circ s)(x) =

Posted 7 months ago

Question

(f + g)(x)

\newline

f(x) = -3x

\newline

g(x) = 3x + 1

\newline

\newline

Write your answer as a polynomial or a rational function in simplest form.

\newline

\underline{\hspace{3cm}}

\newline

Posted 7 months ago

Question

(f * g)(x)

\newline

f(x) = -x + 4

\newline

g(x) = 4x

\newline

\newline

Write your answer as a polynomial or a rational function in simplest form.

\newline

\underline{\hspace{3em}}

\newline

Posted 7 months ago

Question

What is the domain of

\left(\frac{f}{g}\right)(x)

\newline

f(x) = 2x

\newline

g(x) = -5x + 3

\newline

\newline

[\text{A]All real numbers}

\newline

[\text{B]All real numbers except } \frac{3}{5}

\newline

[\text{C]All real numbers except } -\frac{3}{5}

\newline

[\text{D]All real numbers except } \frac{5}{3}

Posted 9 months ago

Question

Find the inverse of the function.

\newline

-3x

\newline

Write your answer in the form

ax + b

. Simplify any fractions.

\newline

Posted 7 months ago

Question

(f \circ g)(0)

\newline

f(x) = 6x

\newline

g(x) = x^2 + 4x

\newline

(f \circ g)(0) =

Posted 7 months ago

Question

(f \circ g)(x)

\newline

f(x) = x^2 + 5

\newline

g(x) = 4x

\newline

Write your answer as a polynomial in simplest form.

\newline

(f \circ g)(x) =

Posted 7 months ago

Question

f(x)

the inverse function of

g(x)

\newline

f(x) = x

\newline

g(x) = -4x

\newline

\newline

\text{[yes]}

\newline

\text{[no]}

Posted 7 months ago

Question

(f * g)(x)

f(x) = 3x^2 + 9x

g(x) = 3x

Write your answer as a polynomial or a rational function in simplest form. ______

Posted 5 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant