Answer:
please last option
using 45 degree as reference angle
using tan relation
Tan45=perpendicular /base
1 = x\6
x = 6
now using right angled triangle relation
H²=p²+b²
then h²= 6²+6²
H = √36+36
H =6√2
therefore y=6√2
Step-by-step explanation:
a. (1,1) and (7,5)
b. (1,1) and (5,7)
c. (2,5) and (-1, 2)
d. (2,5) and (-7,-4)
Slope of the line that passes through the points
The slope = 
a. (1,1) and (7,5)
;
slope =
= 
slope = 
b. (1,1) and (5,7)
slope =
= 
slope =
c. (2,5) and (-1, 2)
slope =
= 
slope = 1
d. (2,5) and (-7,-4)
slope =
slope =
= 1
Answer:
Option A is correct.
Step-by-step explanation:
Given
To determine
What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.
Using the point-slope form of the line equation

where
- m is the slope of the line
substituting the values m = 1/4 and the point (4, -8)



Subtract 8 from both sides



Writing the equation in the standard form
As we know that the equation in the standard form is
Ax+By=C
where x and y are variables and A, B and C are constants
so



Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

Hence, option A is correct.
This answer will be a because the other three have to do with subtraction or division