Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)

m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
The answer is 14 because a negative number multiplied by another negative number is positive. So (-7)*(-2) is 14.
Value of angle Y is 180-51
Both those are drawn to scale.
5. Isosceles right triangle, sides in ratio 1:1:√2 = x:x:24 so x/24=1/√2,
x = 24/√2 = 24(√2/2) = 12√2
Answer: D. 12√2
6. 1:1:√2 = 10 : AB : BC
BC = 10√2
Answer: A. 10√2 ft