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3 years ago

Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

Option B is correct

Step-by-step explanation:

The equation of a straight line is given as;

y = mx + b

where m is the slope and b is y-intercept

Let’s evaluate the options one after the other;

A. This is wrong as they both have same slope of 2

C. The y-intercepts are not the same

One is 5, the other is -3

D. This is wrong, the line cannot be the same

Option B is correct

The y-intercept of both varies

While 1 is already appreciated, the other is coming back

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Jan 258:00:56 AM

horsena [70]

Answer:

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

Step-by-step explanation:

Step(i):-

Given that the points (0,4) and (-9,-3)

The slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}$

Step(ii):-

Equation of the straight line passing through the point (0,4) and having slope m = 7/9

$y - y_{1} = m (x-x_{1} )$

$y - 4 = \frac{7}{9} (x-0)$

9 y - 36 = 7x

9y = 7x + 36

$y = \frac{7x}{9} +\frac{36}{9}$

Slope - intercept form

$y = \frac{7x}{9} +4$

Final answer:-

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

8 0

3 years ago

Find each percent increase from 20 teachers to 30 teachers ___

Elanso [62]

20 to 30 is a 10% increase

7 0

3 years ago

Read 2 more answers

I am thinking of a number. if you divide my number by 3 and add -3 you get 4 what is my number

Butoxors [25]

Your number is 21.
21 divided by 3 is 7. 7 plus -3 is 4.

7 0

3 years ago

What are the odds of winning a game, if the probability of losing the game is 5 /13 ?

Alenkasestr [34]

Answer:

Step-by-step explanation:

If divided: 0.38461538461

If percent: 38.4615%.

Brainliest rn:D

4 0

3 years ago

Read 2 more answers

Can 8x be added to 56? Why or why not? Use rich text?

Vladimir [108]

Answer:

see below

Step-by-step explanation:

8x and 56 are not like terms

x is a variable and 56 is a constant

8x can be added to 56 but they cannot be combined together into one term

8x+56 cannot be combined because they are not like terms

7 0

3 years ago