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 [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.
[tex]m= \frac{-2-0}{1-(-3)}[/tex]
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)
[tex]m = \frac{4-1}{1-(-1)}[/tex]
Simplifying gets you: m = 3/2.
3rd graph:
To find the midpoint, use the formula: [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
Plug in the end-points of the graph, or (-3, 2) and (4, -1).
You get:
[tex](\frac{-3+4}{2}, \frac{2-1}{2})[/tex]
Simplify:
Midpoint = (1/2, 1/2)
