Find the slope of the line that passes through (3, 6) and (7, 9). 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 slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). We have the points (3, 6) and (7, 9), so we can label these coordinates as (x1, y1) and (x2, y2) respectively.Substitute Coordinates: Now we substitute the coordinates into the slope formula: (9 - 6) / (7 - 3).Perform Subtraction: Perform the subtraction in the numerator and the denominator: 3 / 4.Calculate Slope: The slope of the line is the result of the division, which is already in its simplest form. So, the slope is 3/4.

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Find the slope of the line that passes through $(3, 6)$ and $(7, 9)$ . $\newline$ 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

(3, 6)

and

(7, 9)

\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 slope formula, which is $(\text{change in } y) / (\text{change in } x)$ , or $(y_2 - y_1) / (x_2 - x_1)$ . We have the points $(3, 6)$ and $(7, 9)$ , so we can label these coordinates as $(x_1, y_1)$ and $(x_2, y_2)$ respectively.
Substitute Coordinates: Now we substitute the coordinates into the slope formula: $(9 - 6) / (7 - 3)$ .
Perform Subtraction: Perform the subtraction in the numerator and the denominator: $3 / 4$ .
Calculate Slope: The slope of the line is the result of the division, which is already in its simplest form. So, the slope is $\frac{3}{4}.$