Answer:
y = - 4x + 16
Step-by-step explanation:
Assuming you require the equation of the line passing through the points.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)
m =
=
= - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 4), then
4 = - 12 + c ⇒ c = 4 + 12 = 16
y = - 4x + 16 ← equation of line
Answer:
5<b-3
Add 3 on both sides
8<b
The variable will always go on the left side of the equation. To flip the equation, you must also flip the less than sign to a greater than sign.
b>8
Hope I helped!
Let x = the amount of grapes that can be bought for 0.40.
Note: By 90 I assume you mean 90 cents. The same for 40.
12/x = 0.90/0.40
0.90x = 12(0.40)
0.90x = 4.80
x = 4.80 ÷ 0.90
x = 5.33333
We can round the decimal to the ones place to get 5 grapes.
The numbers are 3 and 7
Step-by-step explanation:
Let the first number be x and the second number be y
Then according to given statement
One number added to three times another number is 24
x+3y=24 Eqn 1
Five times the first number added to three times to other number is 36
5x+3y=36 Eqn 2
Subtracting Equation 1 from equation 2

Dividing both sides by 4

Putting x=3 in equation 1

Dividing both sides by 3

Hence,
The numbers are 3 and 7
Keywords: Linear equations, Variables
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