Answer:
A) y=-6x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-17-(-5))/(3-1)
m=(-17+5)/2
m=-12/2
m=-6
y-y1=m(x-x1)
y-(-5)=-6(x-1)
y+5=-6(x-1)
y=-6x+6-5
y=-6x+1
Answer:
5 2/3
Step-by-step explanation:
Just keep simplifying 8/12 until you end up with 2/3
Find the GCF of both the numerator and denominator and you end up with 2/3
Just to make it clear 8/12 = 2/3
The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ ![\frac{3}{2}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D1.5)
∵ ![\frac{6}{4}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D1.5)
∵ ![\frac{9}{6}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B6%7D%3D1.5)
∴ ![\frac{y}{x}=k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3Dk)
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
Learn more:
You can learn more about proportional in brainly.com/question/10708697
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