The standard form of this equation is y = 2/3x + 1
To find this, you first need to distribute the 2/3 in front of the parenthesis.
y + 3 = 2/3(x + 6)
y + 3 = 2/3x + 4
Now you can subtract 3 from both sides to isolate the y.
y = 2/3x + 1
Answer:
Lines 2 and 4 are perpendicular
Step-by-step explanation:
Line 2: 4y=3x-4
y=3/4x - 1
Line 4: 4x+3y=-6
3y=-6-4x
y=-2 - 4/3x
The two lines are perpendicular since -4/3= - (inverse of 3/4)
The point-slope form is:

So, here, you just plug in values:

It would be + 1 because remember, the '-' sign just means the opposite of, not subtraction in this case. Also, m = slope.
Answer:
n > 4 is the possible value of number
Step-by-step explanation:
Let number = n
Given that:
Six times a number is greater than 20 more than that number
It will make the equation like:
6n > 20 + n
Subtracting n from both sides
6n - n > 20 + n - n
5n > 20
Dividing both sides by 5 we get:
5n / 5 > 20/ 5
n > 4
I hope it will help you!
The graph is attached.
Answer:
(-2.2, 4) and (8.2, 4)
Step-by-step explanation:
In an ellipse, there is a minor radius and a major radius.
Let major radius be = a
Let minor radius be= b
From the graph, we are given:
Major radius, a = 6
Minor radius, b = 3
Now, let's find the distance from the center to the focus using the formula:

Substituting values, we have:



≈ 5.2
We can see from the graph that center coordinate is (3, 4). Therefore, the approximate locations of the foci of the ellipse would be:
(3-5.2, 4) and (3+5.2, 4)
= (-2.2, 4) and (8.2, 4)