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Anon25 [30]
2 years ago
5

Find the equation of a line that passes through point (2,4) and has a gradient of 3

Mathematics
2 answers:
madreJ [45]2 years ago
8 0

Answer:

y=3x-2

Step-by-step explanation:

y-y0=m(x-x0)

y-4=3x-6

y=3x-2

Alex17521 [72]2 years ago
7 0

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

<em>Find the equation of a line that passes through (2,4) and has a gradient of 3.</em>

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

First, let's take a look at our provided information.

<u>| Provided information:-</u>

<u></u>

  • Point (2,4)
  • Gradient  3

<h3>What we need to find:-</h3>
  • the line's equation

<h3>How to find it using our provided information (gradient & point)?</h3>

  •   write the equation of the line in point-slope form

<h3>point-slope form:-</h3>

  • \sf{y-y_1=m(x-x_1)}

<h3>how to solve:-</h3>

  • Replace y₁ with 4
  • Replace m with 3 (m is the gradient)
  • Replace x₁ with 2

<h3>therefore,</h3>
  • \sf{y-4=3(x-2)}

\bigstar On simplification,

  • \sf{y-4=3x-6}

\bigstar On further simplification,

  • \sf{y=3x-6+4}

Which results in:-

  • \sf{y=3x-2}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

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