Answered

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Answer:

Answer: y = x + 1

Step-by-step explanation:

[tex]{ \tt{y = - 3x + 5}} [/tex]

» At point of intersection:

[tex]{ \tt{2 = - 3x + 5}} \\ { \tt{ - 3x = - 3}} \\ { \tt{x = 1}}[/tex]

» Point of intersection is (1, 2)

• General equation of a line:

[tex]{ \tt{y = mx + c}}[/tex]

  • m is slope
  • c is y-intercept

» Consider point (1, 2);

[tex]{ \tt{2 = (1 \times 1) + c}} \\ { \tt{c = 2 - 1}} \\ { \tt{c = 1}}[/tex]

Equation:

[tex]{ \tt{y = x + 1}}[/tex]

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