What is the slope of the line passing through the points \((2,\,-3)\) and \((6,\,5)\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(2\)
The slope of the line through \((x_1,\,y_1)\) and \((x_2,\,y_2)\) is the change in \(y\) divided by the change in \(x\): \(m=\frac{y_2-y_1}{x_2-x_1}\).
Change in \(y\): \(5-(-3)=8\)
Change in \(x\): \(6-2=4\)
Slope \(\displaystyle m=\frac{8}{4}=2\)