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2 years ago

The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?

Mathematics

2 answers:

allochka39001 [22]2 years ago

6 0

Answer: The slope of the line is 1.5 and the y-intercept is -2.

Step-by-step explanation: We are given that the equation of a straight line is as follows :

$y=1.5x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the slope and y-intercept of the given line.

We know that

the slope-intercept form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$y=1.5x-2\\\\\Rightarrow y=1.5x+(-2).$

Comparing the above equation with the slope-intercept form, we get

slope, m = 1.5 and y-intercept, c = -2.

Thus, the slope of the line is 1.5 and the y-intercept is -2.

irakobra [83]2 years ago

4 0

Slope: 1.5
y-intercept: -2

Explanation:
The slope is the number attached to 'x' in the equation. In this case, 1.5 would be the slope because it's attached to x.

The y-intercept is the constant the number not attached to any variables. In this case, -2 is all by itself.

Hope that helps!

:D®

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Answer:

$-72$ feet : Shark is 72 feet below sea level.

Step-by-step explanation:

Let x represent depth of the shark.

We have been given that the submarine’s depth was twice the depth of the shark. This means that depth of submarine would be $2x$ .

We have been given that a submarine was 144 feet below sea level, so submarine's elevation would be $-144\text{ ft}$ .We can represent this information in an equation as:

$2x=-144$

To find shark's position, we need to solve for x.

$\frac{2x}{2}=\frac{-144}{2}$

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Therefore, $-72$ feet represents shark's elevation, which represents that shark is 72 feet below sea level.

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Whats 5578 ÷ 68 equal to

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5578/68=82.029411764705882352941176470588

that would be rounded to 82.02 which is the answer

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Your friend is trying to grow her hair as long as her cousin’s hair. The table shows their hair lengths y (in inches) in differe

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<span>Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

Month      Friends Hair(in)      Cousins Hair(in)
    3                     4                              7
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To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
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(1) - (2) ⇒ -2 = -5m
$\Rightarrow m= \frac{2}{5} =0.4$

Substituting for m into equation (1) gives:

$7=3(0.4)+c \\ \\ \Rightarrow c=7-1.2=5.8$

Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
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case 1,

Let the CP be ₹x,

SP = ₹2400

Profit = SP – CP

= 2400 – x

Profit % = {(2400–x)/ x} × 100%

According to the question,

{(2400–x)/ x} × 100 = 25

=> (2400–x)/ x= 25 /100

=> 100(2400–x) = 25x [ cross multiplication]

=> 240000 – 100x = 25x

=> 240000 = 25x + 100x

=> 240000 = 125x

=> 240000/125 = x

=> x = 1920

So, CP = ₹1920

case 2,

SP = ₹2040

Profit = SP – CP

= 2040 – 1920

= ₹120

profit % = 120/1920 × 100%

= 16%

<h3>Thus, his profit would be 16% if he had sold his goods for ₹2040.</h3>

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