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3 years ago

What is the equation of the line in standard form?

Mathematics

2 answers:

Paladinen [302]3 years ago

6 0

Answer:

The answer is 2x-y=2

Step-by-step explanation:

I took the test

horsena [70]3 years ago

4 0

First, figure out the slope of the line by solving for the slope between the two given coordinates.

Slope = y2 - y1 / x2 - x1

Substitute the coordinates.

Slope = 2 - (-4) / 2 - (-1)

Slope = 2 + 4 / 2 + 1

Slope = 6 / 3

Slope = 2

So, the slope of the equation here is 2.

Next, look for the y-intercept. You can find the y-intercept by looking on the graph. At what coordinate does the line intersect or cross the y-axis? By looking at the graph, you can see that the line intersects the y-axis at the coordinate point (0, -2). So, your y-interceot is -2.

Now, choose the equation that has a slope of 2 and a y-intercept of -2.

Remember that the standard form of any given linear equation should be in slope-intercept form.

y = mx + b

Substitute the slope and y-intercept

y = 2x - 2

By doing this, you can eliminate choices 1 and 4 because the equation should have 2x to represent the slope of 2.

The best choice is 2x - y = 2.

You have a slope of 2x and if the equation is put in standard form you would have a y-intercept of -2.

Solution: 2x - y = 2

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The mass of Earth is made up of these parts.

Elena-2011 [213]

Answer:

1. atmosphere

2.oceans

3.crust

4.inner core

5. outer core

6.mantle

8 0

3 years ago

Please help me thank you!!

AURORKA [14]

Emma completed the problem correctly i believe

5 0

3 years ago

SOMEONE HELP !!! Please

Lelu [443]

Answer:

x = ± $\sqrt{8}$ - 2

Step-by-step explanation:

x² + 4x = 4

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4

(x + 2)² = 8 ( take square root of both sides )

x + 2 = ± $\sqrt{8}$ ( subtract 2 from both sides )

x = ± $\sqrt{8}$ - 2

3 0

10 months ago

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card

timama [110]

<h3>The probability of picking a red face card from the deck is $(\frac{3}{26} )$ </h3><h3>The probability of NOT picking a red face card from the deck is $(\frac{23}{26} )$ </h3>

Step-by-step explanation:

The total number of cards in the deck = 52

The total number of red( Diamond + Hearts) face cards in the given deck

= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event) = $\frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}$

So, here P(Picking a red face card) = $\frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} = (\frac{6}{52} ) = (\frac{3}{26})$

Hence, the probability of picking a red face card from the deck is $(\frac{3}{26} )$

Now, as we know P (any event NOT A) = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

$= 1 - (\frac{3}{26} ) = \frac{26-3}{26} = (\frac{23}{26})$

Hence, the probability of NOT picking a red face card from the deck is $(\frac{23}{26} )$

8 0

2 years ago

Help! Directions too please!:)

NISA [10]

Slope of function B is "rising" 3 and going over to the right by 1. Representing the slope as 3/1 = 3.

Slope of function A is already giving. If you multiply the slope of function B by 2, it will equal the slope of Function A

7 0

2 years ago