Given:
The line passes through the points (8,-4) and (6,2).
To find:
The slope of the line.
Solution:
If a line passes though two points
, then the slope of the line is

The line passes through the points (8,-4) and (6,2). So, its slope is




Therefore, the slope of the line is -3.

Solution:
Given expression:

To solve the given expression:
First simplify: 

Cancel the common factor (w + 5).

Now substitute this in the given expression.

Multiply the fractions 

Factor the denominator 
Cancel the common factor 2(w – 5).

Factor the numerator 

Cancel the common factor (w – 2).


3+6-7=2
2x5/2=5(1)
6x5/2=15(2)
The area shaded: (1)+(2) => 5+15=20
Answer: 20
For this case what we should do is write correctly the given equation:
D ^ 2 = W ^ 2 + H ^ 2
We substitute the values:
D = 17inch
H = 9inch
Substituting:
17 ^ 2 = W ^ 2 + 9 ^ 2
We clear the value of W:
W = root (17 ^ 2 - 9 ^ 2)
W = 14.4 inch
Answer:
The width of the laptop screen is:
D. W = 14.4 inch