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:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 5
The slope of a line through \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2-y_1}{x_2-x_1}\), the rise in \(y\) for each step of 1 in \(x\).
A(2, 1) and B(3, \(y\)): \(\displaystyle m=\frac{y-1}{3-2}=y-1\)
The slope is 4, so \(y-1=4\) and \(y=5\)