<span><span>Slope (m) =0.25</span><span>θ </span><span>
</span><span>ΔX =-4
</span><span>ΔY =<span>-1</span></span></span>
Answer:
-2/5
Step-by-step explanation:
The slope calculator helps find the slope of any line through two given points. ... two points that this line passes through, use our slope intercept form calculator. ... Simplify the fraction to get the slope of -2/5 . ... The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.
To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.
Where a = 4ft and b = 9ft.
![\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D15%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B96%7D%20%5C%5C%20c%5Capprox9.8%20%5Cend%7Bgathered%7D)
So, the length of the black segment is 9.8 feet.
Now, we find the yellow line length
Where a = 4 and b = 6.
![\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B6%5E2%20%5C%5C%20c%5E2%3D16%2B36%20%5C%5C%20c%5E2%3D52%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B52%7D%20%5C%5C%20c%5Capprox7.2%20%5Cend%7Bgathered%7D)
<h2>Therefore, the length of the yellow line is 7.2 feet.</h2>
Is this solving the problem if so look up
A is congruent
B is congruent
C is congruent
D is not congruent
And E is the same picture as B so it is also congruent
