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2 years ago

A line, y mx + b, passes through the point (2, 3) and is parallel to y 2x + 5. What is the value of b?

Mathematics

1 answer:

Vitek1552 [10]2 years ago

3 0

Answer:

Step-by-step explanation:

If a line is parallel to another it must have the same slope

The slope/intercept form of a line is y = mx + b where m is the slope and b the y intercept

The line y = 2x + 5 has slope 2

So the slope of the line that passes through (2,3) must also have the slope 2

We have
y = 2x + b; Substituting x =2, y =3 in this equation gives us
3 = 2 (2) + b or b = -1

Hence the equation of the line is
y = 2x -1

Cross-check

Substitute for x = 2 ==> y = 2(2) - 1 = 3 which is consistent

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25x4=100%

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ludmilkaskok [199]

Answer:

C and E

Step-by-step explanation:

To solve this problem, let's plug in each coordinates into the equation.

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D. cannot be the answer, as -31 does not equal -7.

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2 years ago

Work out the balance for £240 invested for 20 years at 7% per annum

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Step-by-step explanation:

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3 years ago

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Serjik [45]

*See attachment for the diagram

Answer:

Tan 60 = √3

Step-by-step explanation:

Recall: SOHCAHTOA

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A line, y mx + b, passes through the point (2, 3) and is parallel to y 2x + 5. What is the value of b?​

A line, y mx + b, passes through the point (2, 3) and is parallel to y 2x + 5. What is the value of b?