There is a line that includes the point (8,1) and has a slope of -1/8. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. y - ______ = ______(x - ______)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. The point-slope form of a linear equation is given by the formula 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 Values: Substitute the given point and slope into the point-slope form. We are given the point (8,1) and the slope -1/8. Substituting these values into the point-slope form, we get: y - 1 = (-1/8)(x - 8)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

There is a line that includes the point $(8,1)$ and has a slope of $-\frac{1}{8}$ . 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

Home

Math Problems

Algebra 1

Point-slope form: write an equation

Full solution

Q. There is a line that includes the point

(8,1)

and has a slope of

-\frac{1}{8}

. 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 the formula $y - y_1 = m(x - x_1)$ , where $m$ is the slope of the line and $(x_1, y_1)$ is a point on the line.
Substitute Given Values: Substitute the given point and slope into the point-slope form. $\newline$ We are given the point $(8,1)$ and the slope $-\frac{1}{8}$ . Substituting these values into the point-slope form, we get: $\newline$ $y - 1 = \left(-\frac{1}{8}\right)(x - 8)$