All categories

4 years ago

Write an equation of the line in slope-intercept from?

Mathematics

1 answer:

netineya [11]4 years ago

4 0

Answer:

$y=-\frac{3}{2}x+2$

Step-by-step explanation:

This is for the first question.

Slope-intercept is:

$y=mx+b$

m - slope

b - y-intercept

We are given the slope of $-\frac{3}{2}$ and a y-intercept of 2.

Plug in the values:

$y=mx+b\rightarrow\boxed{y=-\frac{3}{2}x+2}$

Hope this helps.

You might be interested in

The sum of the reciprocals of two consecutive even integers is 3/4 Find the two integers.

Vedmedyk [2.9K]

$\Large{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}$

Let one of those even numbers be x, Then other even number would be x + 2.

According to question,

⇛ Their reciprocal add upto 3/4

So, we can write it as,

⇛ 1/x + 1/x + 2 = 3/4

⇛ x + 2 + x / x(x + 2) = 3/4

⇛ 2x + 2 / x² + 2x = 3/4

Cross multiplying,

⇛ 3(x² + 2x) = 4(2x + 2)

⇛ 3x² + 6x = 8x + 8

⇛ 3x² - 2x - 8 = 0

⇛ 3x² - 6x + 4x - 8 = 0

⇛ 3x(x - 2) + 4(x - 2) = 0

⇛ (3x + 4)(x - 2) = 0

Then, x = -4/3 or 2

☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2

Then, x + 2 = 4

✤ So, The even numbers are 2 and 4.

━━━━━━━━━━━━━━━━━━━━

4 0

4 years ago

Sales Daria sells televisions. She earns a fixed amount for each television and an additional $30 if the buyer gets an extended

alexira [117]

Answer:

$70

Step-by-step explanation:

Daria's total income = fixed income + variable income

Let

Daria's Fixed income = x

additional $30 if the buyer gets an extended warranty

Daria's variable income = 30s

Where,

s = number of televisions with extended warranties she sells

If Daria sells 15 televisions with extended warranties, she earns \$1,500. Find her fixed income

Daria's total income = fixed income + variable income

1500 = x + 30(15)

1500 = x + 450

1500 - 450 = x

1,050 = x

x = $1,050

Daria's total fixed income = $1,050

How much is the fixed amount Daria for each television?

Fixed income per television = Total fixed income / number of television sold

= 1050 / 15

= 70

Fixed income per television = $70

7 0

3 years ago

The ratio 64 to 96 in simplest form is 3

dybincka [34]

Answer:

nice.

Step-by-step explanation:

3 0

3 years ago

Titus cuts 3/4 inch sections of wood to make a birdhouse. He cut 36 sections. How many inches did he cut?

Burka [1]

Answer:

27 inches hopes this helps

Step-by-step explanation:

please make me brainliest

3 0

3 years ago

Read 2 more answers

Please Help! 20 Points! Will Give Brainliest if correct!

Debora [2.8K]

Answer:

eh+gf/fh

Step-by-step explanation:

6 0

3 years ago