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the post office and city hall are marked on a coordinate plane. write the equation of the line in slope intercept form that passes through these two points.

Sagot :

The given points are (1,6) and (-5,-3).

First, we have to find the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Replacing given points, we have

[tex]m=\frac{-3-6}{-5-1}=\frac{-9}{-6}=\frac{3}{2}[/tex]

Now, we use the point-slope formula

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-6=\frac{3}{2}(x-1) \\ y=\frac{3}{2}x-\frac{3}{2}+6 \\ y=\frac{3}{2}x+\frac{-3+12}{2} \\ y=\frac{3}{2}x+\frac{9}{2} \end{gathered}[/tex]

Therefore, the equation would be y = 3/2x + 9/2

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