Determine the slope for the line that meets each condition stated. show your work.
a. passes through the points (3,5) and (−1,−7).
b. passes through the points given by the table of values.
x y
−2 −7
−1 −6
0 −5
1 −4
2 −3

a. The slope is 3

b. The slope is 1

Step-by-step explanation:

We can calculate the slope of a line with the following formula:

a. Knowing that the line passes through the points (3,5) and (-1,-7), we can identify that:

Then, substituting values into the formula, we get that the slope of this line is:

b. Choose two points from the table. Let's choose:

In this case:

Then, substituting values into the formula, we get that the slope of this line is:

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation: