Which equation represents a line that passes through (4, 5) and has a slope of 3/4 ?
Oy-- (x - 4)
Oy-} = (x-4)
O y = 4(x - 2)
O y - 4 =

Answers

Answer 1
y = 3/4x +b
5= 3/4*4 + b
5=3+b
b=2
y=3/4x+2
Answer 2

The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/4

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 5 = ( 3/4 ) ( x - 4 )

y - 5 = ( 3/4 )x - 3

Adding 5 on both sides , we get

y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

To learn more about equation of line click :

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Answers

Answer:

Solution given:

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Step-by-step explanation:

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Answer: [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

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Which of the following do not represent the measures of the sides of a triangle?
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B) 43, 133, 89
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D 20, 20, 30

Answers

Answer:     B) 43, 133, 89

===========================================================

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

p+q > rp+r > qq+r > p

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

-----------------

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

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Answers

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Answer:

I'm going to assume that you meant y=3x-8 and y=-4

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-TheUnknownScientist

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Answers

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Answers

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Answers

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Answers

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