How do you find the slope of the line passing through the points (7, 10) and (6, 7)?

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Answer 1 · 2016-04-01T17:25:40

The slope $= 3$ $= 3$

The coordinates are:
$(7, 10) = x_{1}, y_{1}$ $(7,10) = color(blue)(x_1 , y_1$

$(6, 7) = x_{2}, y_{2}$ $(6,7) = color(blue)(x_2 , y_2$

The slope is calculated using formula:

Slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $= color(blue)((y_2- y_1) / (x_2 - x_1)$ (change in y axis divided by change in x axis)

$= \frac{7 - 10}{6 - 7}$ $= (7-10) / (6-7)$

$= \frac{- 3}{- 1}$ $= (-3) / (-1)$

$= 3$ $= 3$