There is a line that includes the point (-5,7) 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. Point-slope form: y - y_1 = m(x - x_1)Substitute Values: We have: Point: (-5, 7) Slope: -1/8 What is the point-slope form of the line? Substitute -1/8 for m, -5 for x_1, and 7 for y_1 in point-slope form. y - 7 = (-1/8)(x - (-5))Simplify Equation: Simplify the equation. y - 7 = (-1/8)(x + 5) This is the equation in point-slope form.

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 $(-5,7)$ 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. $\newline$ $y -$ $=$ $(x -$ __ $)$

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

(-5,7)

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 -

______

=

______

(x -

______

)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ Point-slope form: $y - y_1 = m(x - x_1)$
Substitute Values: We have: $\newline$ Point: $(-5, 7)$ $\newline$ Slope: $-\frac{1}{8}$ $\newline$ What is the point-slope form of the line? $\newline$ Substitute $-\frac{1}{8}$ for $m$ , $-5$ for $x_1$ , and $7$ for $y_1$ in point-slope form. $\newline$ $y - 7 = \left(-\frac{1}{8}\right)(x - (-5))$
Simplify Equation: Simplify the equation. $\newline$ $y - 7 = \left(-\frac{1}{8}\right)(x + 5)$ $\newline$ This is the equation in point-slope form.