Mathematics, 01.03.2020 22:59 jeieiejej

Find the slope intercept form of the equation

Answers: 1

Show answers

Answers

Answer from: sabrinarea041904

The slope intercept form of the equation

$y = \frac{1}{2}x - \frac{3}{2}$

Solution:

The equation of line in slope intercept form is given as:

y = mx + c ----- eqn 1

Where, m is slope and c is y intercept

Given that,

The equation of line is:

$y = \frac{1}{2}x + 1$

On comparing the above equation with eqn 1,

$m = \frac{1}{2}$

We know that, slopes of parallel lines are equal

Therefore, slope of line parallel to given line is 1/2

Substitute m = 1/2 and (x, y) = (-5, -4) in eqn 1

$-4 = \frac{1}{2} \times -5 + c\\\\c = -4 + \frac{5}{2}\\\\c = \frac{-8+5}{2}\\\\c = \frac{-3}{2}$

$Substitute\ m = \frac{1}{2}\ and\ c = \frac{-3}{2}\ in\ eqn\ 1\\\\y = \frac{1}{2}x - \frac{3}{2}$

Thus the equation of line in slope intercept form is found

Answer from: Quest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

Answer from: Quest

it's d

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:30

What is the slope of the line shown below?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Compare the cost of the bike trips from the two companies shown.for both the cost in a linear function of the number of days which statements is true

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

The test scores of 32 students are listed below. construct a boxplot for the data set and include the values of the 5-number summary. 32 37 41 44 46 48 53 55 57 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 81 82 83 86 89 92 95 99

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per hour. how many hours will it take for the planes to be 2451 miles apart?

Answers: 1

Answer

You know the right answer?

Find the slope intercept form of the equation
...

Questions