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