What is the slope of the line that passes through the points left bracket, 2, comma, minus, 4, right bracket(2,−4) and left bracket, 5, comma, 2, right bracket(5,2)

Identify Coordinates: Identify the coordinates of the two points. The first point is (2, −4), which means x₁ = 2 and y₁ = −4. The second point is (5, 2), which means x₂ = 5 and y₂ = 2. No calculations are needed in this step.Recall Slope Formula: Recall the formula for the slope of a line given two points. The slope (m) is the ratio of the change in y to the change in x between two points on a line. The formula for the slope is m = (y₂ - y₁) / (x₂ - x₁). No calculations are needed in this step.Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. Using the points (2, −4) and (5, 2), we get m = (2 - (−4)) / (5 - 2). No calculations are needed in this step.Perform Calculations: Perform the calculations to find the slope. Now we calculate m = (2 - (−4)) / (5 - 2) = (2 + 4) / (5 - 2) = 6 / 3.Simplify Fraction: Simplify the fraction to get the final slope. 6 / 3 simplifies to 2. So, the slope of the line is 2.

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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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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 $2$ .