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Ann [662]
2 years ago
5

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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ASAP PLEASE HELP!! 50 POINTS
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3 years ago
Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300 when the price is $4.77 each
pogonyaev

Answer:

p + 0.0001q = 5

Step-by-step explanation:

Data provided in the question:

When Price, p₁ = $4.77 ; Demand, q₁ = 2,300

and,

When Price, p₂ = 3,300 ; Demand, q₂ = 3,300

considering the above as the points on the line,

now, the general equation for a line is given as:

\frac{q_1-q}{p_1-p}=\frac{q_2-q_1}{p_2-p_1}

on substituting the respective values, we get

\frac{2,300-q}{4.77-p}=\frac{3,300-2,300}{4.67-4.77}

or

\frac{2,300-q}{4.77-p}=\frac{1000}{-0.1}

or

2,300 - q = -10,000(4.77 - p)

or

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or

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or

⇒ 10,000p + q = 50000

or

⇒ p + 0.0001q = 5

8 0
3 years ago
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