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Vlad [161]
3 years ago
14

Don’t know anything about how to work out #5

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

First find the slope of the line DM using the slope formula: \frac{y_2-y_1}{x_2-x_1}.

Use the points D(0, 2) and M(-3, -5). Substitute in -5 for y2, 2 for y1, -3 for x2, and 0 for x1.

\frac{-5-2}{-3-0}, subtract the coordinate points.

\frac{-7}{-3} = \frac{7}{3}; the slope of the line DM is 7/3.

Perpendicular lines have opposite reciprocal slopes, meaning you switch the sign (say for example a negative becomes a positive, a positive becomes a negative) and you flip the fraction over (for example 1/2 becomes 2/1 and 2/1 becomes 1/2).

The opposite reciprocal of 7/3 is -3/7, so the line perpendicular to the line DM has a slope of -3/7.

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