Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$y = -\frac{1}{3}x - 9$ in standard form

View step-by-step help

View step-by-step help

Slope-intercept form: find the slope and y-intercept

Full solution

Q.

y = -\frac{1}{3}x - 9

in standard form

Understand standard form: Understand what standard form means. $\newline$ The standard form of a linear equation is $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ should be non-negative.
Rewrite in standard form: Rewrite the given equation in standard form. $\newline$ We start with the equation $y = -\frac{1}{3}x - 9$ and want to rearrange it to the form $Ax + By = C$ .
Move x term left: Move the term with $x$ to the left side of the equation. $\newline$ To do this, we add $\frac{1}{3}x$ to both sides of the equation to get $\frac{1}{3}x + y = -9$ .
Clear fraction by multiplying: Clear the fraction by multiplying every term by the denominator of the fraction. $\newline$ In this case, we multiply every term by $3$ to eliminate the fraction: $3\left(\frac{1}{3}x\right) + 3y = 3(-9)$ .
Perform multiplication: Perform the multiplication. $\newline$ This gives us $1x + 3y = -27$ .
Ensure $A$ is non-negative: Ensure that $A$ is non-negative. $\newline$ Since $1$ is already non-negative, we do not need to multiply the equation by $-1$ .
Check for integers: Check if $A$ , $B$ , and $C$ are integers. $\newline$ In the equation $1x + 3y = -27$ , $A = 1$ , $B = 3$ , and $C = -27$ , which are all integers.

More problems from Slope-intercept form: find the slope and y-intercept

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

Posted 2 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 1 month ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

\newline

Posted 1 month ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 1 month ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 1 month ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 2 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 2 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 1 month ago