Question

Graph the line that passes through the origin and (2, —4). Then find the slope of the line.

Answer 1

Answer: -2

Further explanation:

We're asked to find the slope of the line, given that it passes through the origin, which is the point (0,0), and (2,-4).

To find the slope of the line through these two points, we will use the formula:

`\bf{m=(y_2-y_1)/(x_2-x_1)}`

Plug in the data:

`\bf{m=(-4-0)/(2-0)=(-4)/(2)=\boxed{\bf{-2}}`

Therefore, m = -2.

Answer 2

slope = -2x

Explanation:

slope = rise/run

points: (0,0) and (2,-4)

-4 - 0 / 2 - 0 = -4/2

slope = -2x