Find the slope of the line that passes through (8, 9) and (2, 16). 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: (x1, y1) = (8, 9) Point 2: (x2, y2) = (2, 16) We will use these coordinates to calculate the slope.Recall Slope Formula: Recall the formula for the slope (m) of a line passing through two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1)Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m = (16 - 9) / (2 - 8)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = (7) / (-6)Simplify Fraction: Simplify the fraction if possible. In this case, the fraction 7/-6 is already in simplest form.

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 $(2, 16)$ . $\newline$ 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

(2, 16)

\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 $1$ : $(x_1, y_1) = (8, 9)$ $\newline$ Point $2$ : $(x_2, y_2) = (2, 16)$ $\newline$ We will use these coordinates to calculate the slope.
Recall Slope Formula: Recall the formula for the slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ : $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ $m = \frac{16 - 9}{2 - 8}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $\newline$ $m = \frac{7}{-6}$
Simplify Fraction: Simplify the fraction if possible. In this case, the fraction $\frac{7}{-6}$ is already in simplest form.