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

Answer:

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

2nd graph: m = 3/2.

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

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

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

$m= \frac{-2-0}{1-(-3)}$

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)

$m = \frac{4-1}{1-(-1)}$

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: $(\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )$

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

You get:

$(\frac{-3+4}{2}, \frac{2-1}{2})$

Simplify:

Midpoint = (1/2, 1/2)