Answer:

Step-by-step explanation:
Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.
Since they give you two points
and
for the line, use them to find the slope of the line that goes through them, with the formula: 
Therefore, the slope of the line must be 
Now, find the y-intercept (b) using the general form of a line with the given slope:

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

then the y-intercept must be 5. Therefore our line is :
which appears listed as your second choice.
Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula

Use pythagoras formula for triangle PQM.





The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.


.....(1)
Use pythagoras formula for triangle MQR.



.... (2)
From equation (1) and (2) we get




Therefore length of PR is 6.4 units and option 4 is correct.
Answer:
A
Step-by-step explanation:
it fails the vertical line test
Answer:
x=-5/3
Step-by-step explanation:
ABD + DBC = ABC
Substitute the values
6x+9 + x+1 = 10x+15
Combine like terms
7x+10 = 10x+15
Subtract 7x from each side
7x-7x+10 = 10x-7x+15
10 = 3x+15
Subtract 15 from each side
10-15 = 3x+15-15
-5 =3x
Divide each side by 3
-5/3 =x
This will give us a negative value for DBC
DBC = -5/3 +3/3 = -2/3
We cannot have a negative value for an angle
Check the values given.