Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.
The value of the y-intercept is 9.
Step-by-step explanation:
Slope of line passing through (a,b) and (c,d) = ![\dfrac{d-b}{c-a}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd-b%7D%7Bc-a%7D)
Then, the slope of the line that passes through (2, 12) and (4, 20) = ![\dfrac{20-12}{4-2}](https://tex.z-dn.net/?f=%5Cdfrac%7B20-12%7D%7B4-2%7D)
![=\dfrac{8}{2}=4](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B8%7D%7B2%7D%3D4)
So, the slope of the line that passes through (2, 12) and (4, 20) is 4.
To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).
![2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9](https://tex.z-dn.net/?f=2y%3D-3x%2B18%5C%5C%5C%5C%5CRightarrow%5C%20y%3D-%5Cdfrac%7B3%7D%7B2%7Dx%2B9)
By comparison, c= 9
Hence, the value of the y-intercept is 9.