Question

Line M passes through the points (5,-4) and (9,10). When line n is plotted, it has no points in common with line m. Which of the following must be the slope of line n?

Answer 1

Slope, m = 7/2 or 3.5

Explanation:

Given the following data;

Points on the x-axis (x1, x2) = (5, 9)

Points on the y-axis (y1, y2) = (-4, 10)

To find the slope;

Mathematically, slope is given by the formula;

`Slope = (Change \; in \; y \; axis)/(Change \; in \; x \; axis)`

`Slope, m = \frac {y_(2) - y_(1)}{x_(2) - x_(1)}`

Substituting into the equation, we have;

`Slope, m = \frac {10 - (-4)}{9 - 5}`

`Slope, m = \frac {10 + 4}{4}`

`Slope, m = \frac {14}{4}`

Slope, m = 7/2 or 3.5