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3 years ago

A line passes through the point (0, –1) and has a slope of -2/3. What is the equation of the line?

2 answers:

6 0

Y = mx + b, where m is the slope and b is the y-intercept.

We have the slope of -2/3, so put that instead of m:

y = -2/3x + b

The y-intercept is at (0, -1), so put -1 for b.

y = -2/3 - 1

sesenic [268]3 years ago

5 0

y=-2/3x-1

is the equation

You might be interested in

Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

Goryan [66]

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

= 2(x^2 -2x+4x-8)

= 2(x^2 +2x-8)

= 2x^2 +4x-16

5 0

3 years ago

Find the value of x in the triangle shown below. a. x=21 b. x=42 c. x= 15 d. x=21

elena55 [62]

THEOREM:

Pythagorean theorem:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

ANSWER:

By pythagorean property,

x² = 12² + 9²
x² = 144 + 81
x² = 225
x = √225
x = 15 units.

So, Correct choice - [C] 15 units.

7 0

3 years ago

Read 2 more answers

Jada has read 3/5 of a book. She has read 75 pages so far. How many pages are in the whole book?

saveliy_v [14]

Answer:

125 pages

Step-by-step explanation:

we can use a proportion

3/5=75/x

multiply cross so 75×5 and 3×X

375=3x

÷3. ÷3

x=125

check

75/125=simplified is 3/5

7 0

3 years ago

Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each r

Dennis_Churaev [7]

Answer:

HCF=2*2=4

Step-by-step explanation:

Given : Shane wants to plant 28 marigold plants and 36 rose plants in his garden

To Find : the greatest number of rows possible each row has the same

number of marigold plants and the same number of rose plants.

Solution:

marigold plants = 28

rose plants = 36

To find the greatest number of rows possible if each row has the same

number of marigold plants and the same number of rose plants.

we need to find HCF of 28 and 36

28 = 2 x 2 x 7

36 = 2 x 2 x 3 x 3

HCF = 2 x 2 = 4

greatest number of rows possible is 4

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If the HCF of (p²-p-6) and (p²+3p-18) is (p-a). Find the value of a ...

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6 0

3 years ago

What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive

Sveta_85 [38]

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

$7y-15=-29$

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

$7y-15+15=-29+15\\\Rightarrow 7y=-14$

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

$a\times \frac{1}{a} = 1$

So, let us multiply the given equation with $\frac{1}7$

$7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2$

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

7 0

3 years ago