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Maksim231197 [3]
3 years ago
8

What is the equation of the line that passes through the point (2, 1) and has a slope of 3/2?

Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0

Answer:

Step-by-step explanation:

Use the form y = mx + b and plug in your known point

y = 3x/2 + b

1 = 3(2)/2 + b

1 = 3 + b

b = -2

y = 3x/2 - 2

we can use a plotting calculator to verify our result.

Ilia_Sergeevich [38]3 years ago
5 0

<u>Given </u><u>:</u><u>-</u>

  • A line having a slope of 3/2 passes through (2,1) .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The equation of the line .

<u>Answer </u><u>:</u><u>-</u>

According to the question ,

  • m = 3/2
  • Point = (2,1)

We know <u>Point</u><u> slope</u><u> form</u><u> </u> of the line as ,

  • y - y¡ = m ( x - x ¡ )

Substitute ,

  • y - 1 = 3/2 ( x - 2 )
  • y - 1 = 3/2x - 3/2*2
  • y - 1 = 3/2x - 3
  • 2( y -1) = 3/2x *2 - 3*2
  • 2y - 2 = 3x - 6
  • 3x - 2y -4 = 0

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3</u><u>x</u><u> </u><u>-2y</u><u>-</u><u>4</u><u>=</u><u>0</u><u> </u><u>.</u>

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