Find the slope of the line that passes through (10, 6) and (1, 2). Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Identify Points: To find the slope of the 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 (y2 - y1) / (x2 - x1). The points given are (10, 6) and (1, 2), so we can label them as (x1, y1) and (x2, y2) respectively.Substitute Coordinates: Now we substitute the coordinates of the points into the slope formula. So, we have: m = (y2 - y1) / (x2 - x1) m = (2 - 6) / (1 - 10)Perform Subtraction: Next, we perform the subtraction in the numerator and the denominator: m = (-4) / (-9)Simplify Fraction: We simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1 in this case. So the fraction remains the same: m = -4 / -9Final Slope Calculation: A negative divided by a negative is a positive, so the slope of the line is: m = 4 / 9

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Find the slope of the line that passes through $(10, 6)$ and $(1, 2)$ . $\newline$ 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

(10, 6)

and

(1, 2)

\newline

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

\newline

_____

Identify Points: To find the slope of the 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 $\frac{y_2 - y_1}{x_2 - x_1}$ . The points given are $(10, 6)$ and $(1, 2)$ , so we can label them as $(x_1, y_1)$ and $(x_2, y_2)$ respectively.
Substitute Coordinates: Now we substitute the coordinates of the points into the slope formula. So, we have: $\newline$ m = $(y_2 - y_1) / (x_2 - x_1)$ $\newline$ m = $(2 - 6) / (1 - 10)$
Perform Subtraction: Next, we perform the subtraction in the numerator and the denominator: $m = \frac{-4}{-9}$
Simplify Fraction: We simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is $1$ in this case. So the fraction remains the same: $\newline$ $m = -\frac{4}{9}$
Final Slope Calculation: A negative divided by a negative is a positive, so the slope of the line is: $m = \frac{4}{9}$