find the equation of the line that passes through (1, 4) with a slope of -2 ​

Sagot :

[tex]\large{\mathcal{SOLUTION:}}[/tex]

In slope intercept form

  • y = mx+b

The slope = m , and b = y-intercept

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Given:

  • m = -2
  • point (1,4) or x = 1 , and y = 4

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Now , we will substitute it to the slope intercept form formula to get the value of b

  • y = mx+b
  • 4 = -2(1)+b
  • 4 = -2+b
  • 4+2 = b
  • 6 = b

Then , finalizing our equation

  • y = mx+b
  • y = -2x+6

Therefore , the equation of the line in slope intercept form is y = -2x+6

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[tex]\large{\mathcal{ANSWER:}}[/tex]

  • y = -2x+6

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[tex]\boxed{\begin{array}{} \blue{\text{DONT RELY ON CHANCES,}} \\ \red{\text{ WORK FOR THE HARDEST }} \\ \end{array}}[/tex]

Given

  • m = -2
  • point (1,4) or x = 1 , and y = 4

Solution

  • y = mx+b
  • 4 = -2(1)+b
  • 4 = -2+b
  • 4+2 = b
  • 6 = b

Then , finalizing our equation

y = mx+b

y = -2x+6

Therefore , the equation of the line in slope intercept form is y = -2x+6