Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line that includes the point $(-5,-6)$ has a slope of $\frac{1}{7}$ . 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. $\newline$ $y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})$

View step-by-step help

View step-by-step help

Point-slope form: write an equation

Full solution

Q. A line that includes the point

(-5,-6)

has a slope of

\frac{1}{7}

. 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{\quad} = \underline{\quad}(x - \underline{\quad})

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ The point-slope form of a linear equation is given by $y - y_1 = m(x - x_1)$ , where $m$ is the slope of the line and $(x_1, y_1)$ is a point on the line.
Substitute Given Point and Slope: Substitute the given point and slope into the point-slope form. $\newline$ We are given the point $(-5, -6)$ and the slope $\frac{1}{7}$ . Substituting these values into the point-slope form, we get: $\newline$ $y - (-6) = \left(\frac{1}{7}\right)(x - (-5))$ $\newline$ Simplifying the equation, we have: $\newline$ $y + 6 = \left(\frac{1}{7}\right)(x + 5)$
Check for Errors: Check for any mathematical errors. We substituted the values correctly and simplified the equation without making any mistakes.

More problems from Point-slope form: write an equation

Question

(0, 4)

satisfy the equation

y = x

?

\newline

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

Posted 3 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 2 months 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 2 months 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 2 months 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 2 months 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 2 months 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 2 months 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 3 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 3 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 2 months ago