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Paraphin [41]
2 years ago
8

Find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)

Mathematics
2 answers:
timama [110]2 years ago
5 0

Answer:

y = 2x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 3 ) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 2x - 7 ← equation of parallel line

Ronch [10]2 years ago
3 0

Answer:

<em>y = 2x - 7 </em>

Step-by-step explanation:

First line: y = 2x + 3 , m = 2

Second line: m = 2 and pass ( 5 , 3 )

y - 3 = 2( x - 5 ) ⇔ <em>y = 2x - 7</em>

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In 8 years Damon will be 16 year's old.

We have Nora who 3 time as old as Damon and in 8 years she will be only 2 time as old as Damon.

We have to determine how old will Damon  be in 8 years.

<h3>If your present age is x and your sister is 4 years elder than you. Than what will be her age after 5 years from now.</h3>

Your present age = x.

Hence, your sister's present age = x + 4.

After five years, your age = x + 5.

Hence, your sister's age will be = x + 9.

According to question, we have -

Assume that the present age of Damon is x.

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3x + 8 = 2(x + 8)

3x + 8 = 2x + 16

x = 8

Hence, in 8 years Damon will be = 8 + 8 = 16 year's old.

To solve more questions on Age determination, visit the link below -

brainly.com/question/14580151

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