Answer:
3rd option is the answer.
Answer:
The slope or gradient of the line L will be: m = 3/8
Step-by-step explanation
We know that the slope-intercept form of the line equation
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
where m is the slope or gradient and b is the y-intercept
Given the equation of the line
![3x - 8y + 20 = 0](https://tex.z-dn.net/?f=3x%20-%208y%20%2B%2020%20%3D%200)
Let us solve for 'y' to write the equation in the slope-intercept form
![3x - 8y + 20 = 0](https://tex.z-dn.net/?f=3x%20-%208y%20%2B%2020%20%3D%200)
Add -3x to both sides
![3x-8y+20+\left(-3x\right)=0+\left(-3x\right)](https://tex.z-dn.net/?f=3x-8y%2B20%2B%5Cleft%28-3x%5Cright%29%3D0%2B%5Cleft%28-3x%5Cright%29)
simplify
![-8y+20=-3x](https://tex.z-dn.net/?f=-8y%2B20%3D-3x)
subtract 20 from both sides
![-8y+20-20=-3x-20](https://tex.z-dn.net/?f=-8y%2B20-20%3D-3x-20)
simplify
![-8y=-3x-20](https://tex.z-dn.net/?f=-8y%3D-3x-20)
Divide both sides by -8.
![\frac{-8y}{-8}=\frac{-3x-20}{-8}](https://tex.z-dn.net/?f=%5Cfrac%7B-8y%7D%7B-8%7D%3D%5Cfrac%7B-3x-20%7D%7B-8%7D)
![y=\frac{3}{8}x+\frac{5}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B8%7Dx%2B%5Cfrac%7B5%7D%7B2%7D)
Thus, comparing with the slope-intercept form
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
![m\:=\:\frac{3}{8}](https://tex.z-dn.net/?f=m%5C%3A%3D%5C%3A%5Cfrac%7B3%7D%7B8%7D)
Thus, the slope or gradient of the line L will be: m = 3/8
Hi.
I think the answer you're looking for is 2.326.
Cheers~
Answer:
WHERE IS THE DIAGRAM
Step-by-step explanation: