Answer:
Step-by-step explanation:
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-3}{5-\left(-1\right)}\\\\m =\frac{11-3}{5+1}\\\\m=\frac{8}{6}\\\\Simplify\\\\m=\frac{11-3}{5-\left(-1\right)}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-1%2C%5C%3A3%5Cright%29%2C%5C%3A%5C%5C%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%285%2C%5C%3A11%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B11-3%7D%7B5-%5Cleft%28-1%5Cright%29%7D%5C%5C%5C%5Cm%20%3D%5Cfrac%7B11-3%7D%7B5%2B1%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B8%7D%7B6%7D%5C%5C%5C%5CSimplify%5C%5C%5C%5Cm%3D%5Cfrac%7B11-3%7D%7B5-%5Cleft%28-1%5Cright%29%7D)
Yes (-4, -1) is on the same line with the other wo points.
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\\\mathrm{Slope\:}\left(-4,\:-1\right),\:\left(5,\:11\right)\\\left(x_1,\:y_1\right)=\left(-4,\:-1\right),\:\\\left(x_2,\:y_2\right)=\left(5,\:11\right)\\\\m=\frac{11-\left(-1\right)}{5-\left(-4\right)}\\\\Simplify\\m=\frac{4}{3}\\\\\mathrm{Slope\:}\left(-1,\:3\right),\:\left(-4,\:-1\right)\\\\\left(x_1,\:y_1\right)=\left(-1,\:3\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:-1\right)\\\\m=\frac{-1-3}{-4-\left(-1\right)}\\\\Simplify\\\\m=\frac{4}{3}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5C%5C%5Cmathrm%7BSlope%5C%3A%7D%5Cleft%28-4%2C%5C%3A-1%5Cright%29%2C%5C%3A%5Cleft%285%2C%5C%3A11%5Cright%29%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-4%2C%5C%3A-1%5Cright%29%2C%5C%3A%5C%5C%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%285%2C%5C%3A11%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B11-%5Cleft%28-1%5Cright%29%7D%7B5-%5Cleft%28-4%5Cright%29%7D%5C%5C%5C%5CSimplify%5C%5Cm%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Cmathrm%7BSlope%5C%3A%7D%5Cleft%28-1%2C%5C%3A3%5Cright%29%2C%5C%3A%5Cleft%28-4%2C%5C%3A-1%5Cright%29%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-1%2C%5C%3A3%5Cright%29%2C%5C%3A%5C%5C%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-4%2C%5C%3A-1%5Cright%29%5C%5C%5C%5Cm%3D%5Cfrac%7B-1-3%7D%7B-4-%5Cleft%28-1%5Cright%29%7D%5C%5C%5C%5CSimplify%5C%5C%5C%5Cm%3D%5Cfrac%7B4%7D%7B3%7D)
Answer:
slipknot is the answer to all your problems
Step-by-step explanation:
Answer:
2x is your slope and -8 is your y intercept
Step-by-step explanation:
Answer:
The y-coordinate of their intersection point is 3
That is y=3
Step-by-step explanation:
Given two lines are y=6x+15 and y=mx+4
Given that the two lines intersect at x=-2
To find the y coordinate of their intersection point :
Equating the two lines
6x+15=mx+4
6x+15-mx-4=0
6x-mx+11=0
(6-m)x+11=0
At x=-2 (6-m)x+11=0
(6-m)(-2)+11=0
(6-m)(-2)=-11
![6-m=\frac{11}{2}](https://tex.z-dn.net/?f=6-m%3D%5Cfrac%7B11%7D%7B2%7D)
![-m=\frac{11}{2}-6](https://tex.z-dn.net/?f=-m%3D%5Cfrac%7B11%7D%7B2%7D-6)
![-m=\frac{11-12}{2}](https://tex.z-dn.net/?f=-m%3D%5Cfrac%7B11-12%7D%7B2%7D)
![-m=\frac{-1}{2}](https://tex.z-dn.net/?f=-m%3D%5Cfrac%7B-1%7D%7B2%7D)
![m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D)
Substitute the value
in y=mx+4 we get
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
At x=-2 ![y=\frac{1}{2}(-2)+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%28-2%29%2B4)
![=-1+4](https://tex.z-dn.net/?f=%3D-1%2B4)
![=3](https://tex.z-dn.net/?f=%3D3)
Therefore y=3
Therefore the y-coordinate of their intersection point is 3