Question

Find the slope of the line containing points (3,5) and (-7,9). Write your answer as a fraction

Answer 1

The slope (m) of a line containing two points is computed as follows:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

where (x1, y1) and (x2, y2) are the coordinates of the given points.

In this case, the points are (3, 5) and (-7, 9). Replacing into the formula:

`m\text{ = }\frac{9\text{ - 5}}{-7\text{ - 3}}\text{ = }(4)/(-10)`

which can be simplified to -2/5 dividing numerator and denominator by 2.