Question

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

Answer 1

First find the slope of the line DM using the slope formula:
`(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.

`(-5-2)/(-3-0)`, subtract the coordinate points.

`(-7)/(-3)` =
`(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.