Find the gradient from point (1;2) and (4;5)

Mathematics

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Step 1: Recall the formula for the gradient (slope) of a line. The gradient mm between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Step 2: Identify the coordinates of the given points. Let (x1,y1)=(1,2)(x_1, y_1) = (1, 2) and (x2,y2)=(4,5)(x_2, y_2) = (4, 5).

Step 3: Substitute the coordinates into the gradient formula. m=5−24−1m = \frac{5 - 2}{4 - 1}

Step 4: Calculate the gradient. m=33m = \frac{3}{3} m=1m = 1

The gradient of the line is 1\boxed{1}.

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Recall the formula for the gradient (slope) of a line. The gradient m between two points (x_1, y_1) and (x_2, y_2) is given by the formula: m = (y_2 - y_1)/(x_2 - x_1) Step 2: Identify the coordinates of the given points.

Find the gradient from point (1;2) and (4;5)
Mathematics

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 Answer
Step 1: Recall the formula for the gradient (slope) of a line. The gradient m between two points (x_1, y_1) and (x_2, y_2) is given by the formula: m = (y_2 - y_1)/(x_2 - x_1) Step 2: Identify the coordinates of the given points. Let (x_1, y_1) = (1, 2) and (x_2, y_2) = (4, 5). Step 3: Substitute the coordinates into the gradient formula. m = (5 - 2)/(4 - 1) Step 4: Calculate the gradient. m = (3)/(3) m = 1 The gradient of the line is 1. That's 2 down. 3 left today — send the next one.