Find the slope of the line that passes through (8, 9) and (5, 8). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Coordinates: Identify the coordinates of the two points. Point 1: (8, 9) which means x₁ = 8 and y₁ = 9 Point 2: (5, 8) which means x₂ = 5 and y₂ = 8 We will use these coordinates to calculate the slope of the line.Recall Slope Formula: Recall the formula for the slope (m) of a line given two points (x₁, y₁) and (x₂, y₂) is: m = (y₂ - y₁) / (x₂ - x₁) We will use this formula to find the slope of the line passing through the given points.Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m = (8 - 9) / (5 - 8) This simplifies to: m = (-1) / (-3)Simplify Fraction: Simplify the fraction to find the slope. m = (-1) / (-3) simplifies to m = 1/3, since a negative divided by a negative is a positive.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the slope of the line that passes through $(8, 9)$ and $(5, 8)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

View step-by-step help

Home

Math Problems

Grade 7

Find the slope from two points

Full solution

Q. Find the slope of the line that passes through

(8, 9)

and

(5, 8)

\newline

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

\newline

_____

Identify Coordinates: Identify the coordinates of the two points. $\newline$ Point $1$ : $(8, 9)$ which means $x_{1} = 8$ and $y_{1} = 9$ $\newline$ Point $2$ : $(5, 8)$ which means $x_{2} = 5$ and $y_{2} = 8$ $\newline$ We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for the slope $m$ of a line given two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $\newline$ $m = \frac{y_2 - y_1}{x_2 - x_1}$ $\newline$ We will use this formula to find the slope of the line passing through the given points.
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ $m = \frac{8 - 9}{5 - 8}$ $\newline$ This simplifies to: $\newline$ $m = \frac{-1}{-3}$
Simplify Fraction: Simplify the fraction to find the slope. $m = (-1) / (-3)$ simplifies to $m = 1/3$ , since a negative divided by a negative is a positive.