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lora16 [44]
3 years ago
11

What is the equation of a line that has a slope of one and passes through point (5,3)?

Mathematics
2 answers:
yanalaym [24]3 years ago
8 0

Answer:

The Equation of a line that is passing from the point (5,3) is y = x - 2

Step-by-step explanation:

The equation of a line that has a slope of one and passes through point (5,3) is as:

From given data,

  • slope = b = 1,
  • x 1= 5,
  • y 1= 3.

So by using the formula, y - y 1 = b ( x - x 1 ) now putting values in this formula,  

  1. y - y 1 = b ( x - x 1 )
  2. y - ( 3 ) = 1( x - 5 )

=> y - 3 = x - 5,

=> y = x - 5 + 3,

=> y = x - 2.

The equation of a line that has a slope of one and passes through the point (5,3) is y = x - 2.    

Katarina [22]3 years ago
5 0

To answer your question, it is shown in the image below:


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T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

This implies,

From (i)

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76 = 6c + k

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Given, when c = 12 thousand ft and T = 49^{\circ} fahrenheit

This implies,

From (i)

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49 = 12c + k

Substitute (ii) in above equation

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6c = -27

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Substituting the value of c in (ii) we get

k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103

Substituting the value of c and k in (i)

T = \frac{-9}{2}x + 103

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Can someone pls help
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