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Find the equation of the line that has a slope of 1 and passes through the point (-3,7) write the equation in point-slope form

Respuesta :

Esther

Answer:

y - 7 = 1(x + 3)

Step-by-step explanation:

Point-Slope Form: [tex]y-y_1=m(x-x_1)[/tex]

[tex]{\large \textsf{where}\ m\ \textsf{is the slope}}\ \textsf{and}\ {\large{(x_1,y_1)\ \textsf{is the given coordinate.}}[/tex]  

Given info:

A line with a slope of 1 and passes through the point (-3, 7).

  • m = 1
  • x₁ = -3, y₁ =7

Substitute the given values into the formula and simplify.

[tex]\implies y-7=1(x-(-3))[/tex]

[tex]\implies y-7=1(x+3)[/tex]

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