Question

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.

Answer 1

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

First, we have to find the slope

`m=(y_2-y_1)/(x_2-x_1)`

Replacing given points, we have

`m=(-3-6)/(-5-1)=(-9)/(-6)=(3)/(2)`

Now, we use the point-slope formula

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

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