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If the slope of a line passing through the points A (2, 1) and B (3, y) is 4, then the value of y will be:

Solution

✅ Correct Option: 3

The line passes through points A (2, 1) and B (3, y) with slope 4.

Using the slope formula:

Slope=y2−y1x2−x1\text{Slope} = \dfrac{y_2 - y_1}{x_2 - x_1}

Where A (2, 1) gives x1=2x_1 = 2 and y1=1y_1 = 1, and B (3, y) gives x2=3x_2 = 3 and y2=yy_2 = y.


Substituting into the slope formula:

4=y−13−24 = \dfrac{y - 1}{3 - 2}

4=y−114 = \dfrac{y - 1}{1}

4=y−14 = y - 1


Solving for y:

y=4+1y = 4 + 1

y=5y = 5

Therefore, the value of y is 5.

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