Find the slope of the line that passes through (2, 5) and (9, 7). 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) = (2, 5) Point 2: (x2, y2) = (9, 7) 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: m = (y2 - y1) / (x2 - x1). We will plug in the coordinates of the two points into this formula.Substitute Coordinates: Substitute the coordinates into the slope formula. m = (7 - 5) / (9 - 2)Perform Subtraction: Perform the subtraction in the numerator and the denominator. m = 2 / 7Check Simplification: Check for any simplification. Since 2 and 7 are both prime numbers, the fraction 2/7 is already in its simplest form.Write Final Answer: Write the final answer. The slope of the line that passes through the points (2, 5) and (9, 7) is 2/7.

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 $(2, 5)$ and $(9, 7)$ . $\newline$ Write your answer in its simplest form.

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

(2, 5)

and

(9, 7)

\newline

Write your answer in its simplest form.

Identify Coordinates: Identify the coordinates of the two points. $\newline$ Point $1$ : $(x_1, y_1) = (2, 5)$ $\newline$ Point $2$ : $(x_2, y_2) = (9, 7)$ $\newline$ 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: $m = \frac{y_2 - y_1}{x_2 - x_1}$ . We will plug in the coordinates of the two points into this formula.
Substitute Coordinates: Substitute the coordinates into the slope formula. $m = \frac{7 - 5}{9 - 2}$
Perform Subtraction: Perform the subtraction in the numerator and the denominator. $m = \frac{2}{7}$
Check Simplification: Check for any simplification. Since $2$ and $7$ are both prime numbers, the fraction $\frac{2}{7}$ is already in its simplest form.
Write Final Answer: Write the final answer. $\newline$ The slope of the line that passes through the points $(2, 5)$ and $(9, 7)$ is $\frac{2}{7}.$