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What is the slope of the line that passes through the points $(2, -4)$ and $(5, 2)$

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Calculate mean, median, mode, and range

Full solution

Q. What is the slope of the line that passes through the points

(2, -4)

and

(5, 2)

Identify Coordinates: Identify the coordinates of the two points. $\newline$ The first point is $(2, -4)$ , which means $x_1 = 2$ and $y_1 = -4$ . $\newline$ The second point is $(5, 2)$ , which means $x_2 = 5$ and $y_2 = 2$ . $\newline$ No calculations are needed in this step.
Recall Slope Formula: Recall the formula for the slope of a line given two points. $\newline$ The slope $m$ is the ratio of the change in $y$ to the change in $x$ between two points on a line. $\newline$ The formula for the slope is $m = \frac{y_2 - y_1}{x_2 - x_1}$ . $\newline$ No calculations are needed in this step.
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. $\newline$ Using the points $(2, -4)$ and $(5, 2)$ , we get $m = \frac{2 - (-4)}{5 - 2}$ . $\newline$ No calculations are needed in this step.
Perform Calculations: Perform the calculations to find the slope. $\newline$ Now we calculate $m = (2 - (−4)) / (5 - 2) = (2 + 4) / (5 - 2) = 6 / 3$ .
Simplify Fraction: Simplify the fraction to get the final slope. $\newline$ $\frac{6}{3}$ simplifies to $2$ . $\newline$ So, the slope of the line is $2$ .

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