Question

I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the Slopes,and for the third one find Mid-point

Answer 1

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula
`m = (y_(2)-y_(1) )/(x_(2)-x_(1))`

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

`m= (-2-0)/(1-(-3))`

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

`m = (4-1)/(1-(-1))`

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula:
`((x_(1)+x_(2) )/(2) , (y_(1) +y_(2) )/(2) )`

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

`((-3+4)/(2), (2-1)/(2))`

Simplify:

Midpoint = (1/2, 1/2)