Answer :

Answer:

y=-1 is the equation of the line

Step-by-step explanation:

x + 2y = 3 and

solve for x  and y to get intersection point

multiply first equation by -2

[tex]-2x -4y = -6[/tex]

[tex]2x - 3y = 13[/tex]

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[tex]-7y=7[/tex]

y=-1

[tex]x + 2y = 3[/tex]

[tex]x + 2(-1)= 3[/tex]

[tex]x -2= 3[/tex]

x=5

intersection point is (5,-1)

(2, -1) and (5,-1)

[tex]slope = \frac{y_2-y_1}{x_2-x_1} =\frac{-1+1}{5-2} =0[/tex]

Slope = 0 (horizontal line)

So equation becomes y =y1 value

y=-1 is the equation of the line

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