Question

Someone please help me

Answer 1

Slope = 4

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 :

`m = ((y_(2)-y_(1)))/((x_(2)-x_(1)))`

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:

`m = \frac{({y_(2)-y_(1)})}{(x_(2)-x_(1))}\\m = ((16-12))/((4-3))\\\\m = (4)/(1)\\\\m = 4`

So, the slope of the line through the 2 points (3, 12) and (3, 16) is 4