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?

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Lanuel

Answer:

Slope, m = 7/2 or 3.5

Step-by-step 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;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {10 - (-4)}{9 - 5} [/tex]

[tex] Slope, m = \frac {10 + 4}{4} [/tex]

[tex] Slope, m = \frac {14}{4} [/tex]

Slope, m = 7/2 or 3.5