Answer:
y + 3= 3(x - 6) ← point-slope form
y = 3x - 21 ← slope-intercept form
3x - y = 21 ← standard form
Step-by-step explanation:
The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 3x + 1 ⇒ m₁ = 3 ⇒ m₂ = 3
(6, -3) ⇒ x₁ = 6, y₁ = -3
point-slope form:
y - (-3) = 3(x - 6)
y + 3 = 3(x - 6)
y + 3 = 3x - 18 {subtact 3 from both sides}
y = 3x - 21 ← slope-intercept form
-3x + y = -21 {multiply both sides by (-1)}
3x - y = 21 ← standard form
Answer:
11/12
Step-by-step explanation:
I took 1.9 and turned it into a fraction and the fraction is 1 9/12 so if you have 11/12 and 1 9/12 then you bought 10/12 more pounds of banana than grapes
Answer:
yea by using a resipe
Step-by-step explanation:
Nolan and his children bought fruits (Apples and bananas) worth $8.
Cost of each apple and bananas are $2 and $0.40 respectively.
Let the number of bananas he bought = y
And the number of apples = x
Therefore, cost of the apples =$2x
And the cost of bananas = $0.40y
Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)
Equation representing the total cost of fruits will be,
(2x + 0.40y) = 8
10(2x + 0.40y) = 10(8)
20x + 4y = 80
5x + y = 20 --------(1)
If he bought 5 times as many bananas as apples,
y = 5x ------(2)
Substitute the value of y from equation (2) to equation (1),
5x + 5x = 20
10x = 20
x = 2
Substitute the value of 'x' in equation (2)
y = 5(2)
y = 10
Therefore, Nolan bought 2 apples and 10 bananas.
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