Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(0, 0)$ a solution to the equation $y = 6x$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

View step-by-step help

Is (x, y) a solution to the linear equation?

Full solution

Q. Is

(0, 0)

a solution to the equation

y = 6x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Equation Solutions: Understand what it means for a point to be a solution to an equation. $\newline$ A point is a solution to an equation if, when we substitute the $x$ and $y$ values of the point into the equation, the equation holds true.
Substitute $(0, 0)$ into $y = 6x$ : Substitute the $x$ and $y$ values of the point $(0, 0)$ into the equation $y = 6x$ . $\newline$ Substitute $x = 0$ and $y = 0$ into the equation to get $0 = 6 \times 0$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ Calculate $6 \times 0$ to get $0$ .
Check Equation Truth: Check if the equation is true with the substituted values. $\newline$ Since $0 = 0$ is a true statement, the point $(0, 0)$ satisfies the equation $y = 6x$ .
Conclude Solution Status: Conclude whether $0, 0$ is a solution to the equation. $\newline$ Since substituting $0, 0$ into the equation $y = 6x$ resulted in a true statement, $0, 0$ is indeed a solution to the equation.

More problems from Is (x, y) a solution to the linear equation?

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