Question

Please help I was sick and missed out on class.Thank you

Answer 1

Explanation:

it is basically simple.

the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.

in other words : when x changes a certain amount of units, how many units does then y change.

so, from e.g. (2, 1) to (6, 12) we see

x changes by +4 (from 2 to 6).

y charges by +11 (from 1 to 12).

so, the slope is +11/+4 = 11/4.

the same ratio applies to all the other point intervals in the table.

e.g. (10, 23) to (14, 34)

+4 (10 to 14)

+11 (23 to 34)

and so on.

so, the slope truly is 11/4.

Answer 2

⇒The slope of the line is the gradient of the line. Now to find the gradient of the line from the formula we normally have to use two point that are in the line (x1,y1) and (x2,y2) .

⇒The first step for you is to choose which two points you are going to use to find the slope of the line. I will use (2,1) and (6,12)

⇒The formula to calculate the slope of the line is given by

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

m is a variable that represent the variable.

`m=(12-1)/(6-2) \\m=(11)/(4)`

⇒Note you can use any points in the table as you would still get the same answer I got above.