All categories

3 years ago

What is the gradient and y-intercept of 3y=4x+6

1 answer:

8 0

Y = mx + b

m is the gradient, otherwise known as slope
b is known as the y-intercept

So 3y = 4x + 6

Divide both sides by 3 to isolate y.

y = (4/3)x + 2

The gradient is 4/3
The y-intercept is 2

You might be interested in

I please solve and explain

lisov135 [29]

Answer:

Step-by-step explanation:

4 0

2 years ago

Here is the question

serg [7]

First find the amount of the difference between the original price and the current price:

$10,600 - $7,400 = $3,200

Divide the difference by the original price:

3200 / 7400 = 0.4324 = 43.2% increase.

5 0

2 years ago

AC=CE and D is the midpoint of CE. If CE = 10x+18 DE = 7x-1 and BC = 9x-3 find AB

Mazyrski [523]

We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE

⇒ CE = 2 * DE

⇒ 10x + 18 = 2 * (7x - 1)

⇒ 10x + 18 = 14x - 2

⇒ -4x = -20

⇒ x = 5

Now we also know that BC = 9x - 3 and AC = CE = 10x + 18

⇒ AB = AC - BC

⇒ AB = 10x + 18 - (9x - 3)

⇒ AB = x + 21

Substituting the value of x,

⇒ AB = 5 + 21

⇒ AB = 26

Hence, the value of AB is 26 units.

8 0

3 years ago

V = lwh/3 (solve for h)

victus00 [196]

Answer:

$\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle V = \frac{lwh}{3}$

Step 2: Solve for h

[Multiplication Property of Equality] Multiply 3 on both sides: $\displaystyle V = \frac{lwh}{3} \rightarro 3V = lwh$
[Division Property of Equality] Divide lw on both sides: $\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}$

4 0

3 years ago

Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution

Rzqust [24]

Y = -2x +8
y = x-1

y=y

-2x+8 = x-1

-3x = -1 -8

-3x = -9

3x = 9

x = 3

6 0

3 years ago