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Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (-1,1), slope =1
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Respuesta :

igoroleshko156

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Answer:  [tex]\textsf{y = x + 2}[/tex]

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Given:  [tex]\textsf{Slope = 1, Goes through (-1, 1)}[/tex]

Find: [tex]\textsf{Determine the slope-intercept form of the equation}[/tex]

Solution: In order to determine the equation we need to first use the point-slope form which uses a slope and a point which can then be simplified and solve for y to get the slope-intercept form.

Plug in the values

  • [tex]\textsf{y - y}_2\textsf{ = m(x - x}_1\textsf{)}[/tex]
  • [tex]\textsf{y - 1 = 1(x - (-1))}[/tex]

Simplify and solve for y

  • [tex]\textsf{y - 1 = 1(x + 1)}[/tex]
  • [tex]\textsf{y - 1 + 1 = x + 1 + 1}[/tex]
  • [tex]\textsf{y = x + 2}[/tex]

Therefore, the simplified equation in slope-intercept form would be y = x + 2

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