Answer:
The equation in the slope-intercept form will be:
![y=6x-3](https://tex.z-dn.net/?f=y%3D6x-3)
Step-by-step explanation:
Given
As we know that the equation of a line in point-slope form is
![y-y_1=m\left(x-x_1\right)](https://tex.z-dn.net/?f=y-y_1%3Dm%5Cleft%28x-x_1%5Cright%29)
substituting the values m = 6 and point = (1, 3)
![y-3=6\left(x-1\right)](https://tex.z-dn.net/?f=y-3%3D6%5Cleft%28x-1%5Cright%29)
Writing the equation in slope-intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
![y-3=6\left(x-1\right)](https://tex.z-dn.net/?f=y-3%3D6%5Cleft%28x-1%5Cright%29)
add 3 to both sides
![y-3+3=6\left(x-1\right)+3](https://tex.z-dn.net/?f=y-3%2B3%3D6%5Cleft%28x-1%5Cright%29%2B3)
![y=6x-3](https://tex.z-dn.net/?f=y%3D6x-3)
Therefore, the equation in the slope-intercept form will be:
![y=6x-3](https://tex.z-dn.net/?f=y%3D6x-3)
×=y/3-z/3+3 thats the x value in this equation
Answer:
160
Step-by-step explanation:
n : d : s
8 : 12 : 20
davina = 48 sweets
48/12 = 4
8 + 12 + 20 = 40
40 x 4 = 160 sweets total
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3