Answer:
Slope = 4
Step-by-step explanation:
Hi!
So, I can only see question a, so I will answer that.
This is asking for the slope given 2 points.
The line-slope formula states :
[tex]m = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
where m is the slope and the x and y values are the corresponding values from 2 coordinate points. The hard part of this is deciding which of your points is point 1 and which is point 2. It's arbitrary, so any selection is correct. We just have to stay consistent.
Let's let (3,12) be point 1 and (4,16) be point 2. Now we can write the corresponding x and y values into our formula:
[tex]m = \frac{({y_{2}-y_{1}})}{(x_{2}-x_{1})}\\m = \frac{(16-12)}{(4-3)}\\\\m = \frac{4}{1}\\\\m = 4[/tex]
So, the slope of the line through the 2 points (3, 12) and (3, 16) is 4
