Find the slope of the line that passes through the points (2, -3) and (3, 4).

May 11, 2026Mathematics

ScanSolve AI Answer

May 11, 2026

Answer

Hey Justify, good to see you again.

Step 1: Identify the coordinates of the given points. The two points are $A(2, -3)$ and $B(3, 4)$ . Let $(x_1, y_1) = (2, -3)$ and $(x_2, y_2) = (3, 4)$ .

Step 2: Apply the slope formula. The formula for the slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step 3: Substitute the coordinates into the formula. $m = \frac{4 - (-3)}{3 - 2}$

Step 4: Simplify the expression. $m = \frac{4 + 3}{1}$ $m = \frac{7}{1}$ $m = 7$

The slope of the line joining points A and B is $\boxed{7}$ .

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Quick Answer

Hey Justify, good to see you again. Step 1: Identify the coordinates of the given points.

Asked on May 11, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 11, 2026

Hey Justify, good to see you again. Step 1: Identify the coordinates of the given points. The two points are A(2, -3) and B(3, 4). Let (x_1, y_1) = (2, -3) and (x_2, y_2) = (3, 4). Step 2: Apply the slope formula. The formula for the slope m of a line passing through two points (x_1, y_1) and (x_2, y_2) is: m = (y_2 - y_1)/(x_2 - x_1) Step 3: Substitute the coordinates into the formula. m = (4 - (-3))/(3 - 2) Step 4: Simplify the expression. m = (4 + 3)/(1) m = (7)/(1) m = 7 The slope of the line joining points A and B is 7. Send me the next one 📸