Find the slope of the line that passes through (7, 11) and (10, 9). 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: (7, 11) Point 2: (10, 9) 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): m = (y2 - y1) / (x2 - x1)Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using Point 1 (7, 11) as (x1, y1) and Point 2 (10, 9) as (x2, y2), we get: m = (9 - 11) / (10 - 7)Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. Difference in y-coordinates: 9 - 11 = -2 Difference in x-coordinates: 10 - 7 = 3Calculate Slope: Calculate the slope using the differences found in Step 4. m = (-2) / (3)Simplify Fraction: Simplify the fraction, if necessary. The fraction -2/3 is already in simplest form, so no further simplification is needed.

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 $(7, 11)$ and $(10, 9)$ . $\newline$ 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

(7, 11)

and

(10, 9)

\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 $1$ : $(7, 11)$ $\newline$ Point $2$ : $(10, 9)$ $\newline$ 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 $(x_2, y_2)$ : $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ Using Point $1$ $(7, 11)$ as $(x_1, y_1)$ and Point $2$ $(10, 9)$ as $(x_2, y_2)$ , we get: $\newline$ $m = \frac{9 - 11}{10 - 7}$
Calculate Differences: Calculate the difference in the y-coordinates and the x-coordinates. $\newline$ Difference in y-coordinates: $9 - 11 = -2$ $\newline$ Difference in x-coordinates: $10 - 7 = 3$
Calculate Slope: Calculate the slope using the differences found in Step $4$ . $\newline$ $m = \frac{-2}{3}$
Simplify Fraction: Simplify the fraction, if necessary. $\newline$ The fraction $-\frac{2}{3}$ is already in simplest form, so no further simplification is needed.