Find the slope of the line that passes through (9, 5) and (1, 14). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Slope Formula: To find the slope of a line that passes through two points, we use the formula for slope (m), which is the change in y divided by the change in x, or m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.Identify Coordinates: Let's identify the coordinates of the two points. We have point 1 as (x1, y1) = (9, 5) and point 2 as (x2, y2) = (1, 14).Plug into Formula: Now, we will plug these coordinates into the slope formula to find the slope of the line. m = (14 - 5) / (1 - 9)Calculate Differences: Calculate the differences: m = (9) / (-8)Simplify Fraction: Simplify the fraction to get the slope of the line. m = -9/8

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Find the slope of the line that passes through $(9, 5)$ and $(1, 14)$ . $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ _____

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Grade 7

Find the slope from two points

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Q. Find the slope of the line that passes through

(9, 5)

and

(1, 14)

\newline

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

\newline

_____

Slope Formula: To find the slope of a line that passes through two points, we use the formula for slope $m$ , which is the change in $y$ divided by the change in $x$ , or $m = \frac{y_2 - y_1}{x_2 - x_1}$ , where $\left(x_1, y_1\right)$ and $\left(x_2, y_2\right)$ are the coordinates of the two points.
Identify Coordinates: Let's identify the coordinates of the two points. We have point $1$ as $(x_1, y_1) = (9, 5)$ and point $2$ as $(x_2, y_2) = (1, 14)$ .
Plug into Formula: Now, we will plug these coordinates into the slope formula to find the slope of the line. $\newline$ $m = \frac{14 - 5}{1 - 9}$
Calculate Differences: Calculate the differences: $m = \frac{9}{-8}$
Simplify Fraction: Simplify the fraction to get the slope of the line. $m = -\frac{9}{8}$