In step 4 of the construction of a perpendicular line through a point, why must the compass point be placed on the points where the arc intersects with the original line? How would the construction be different if the compass point were placed at random points on
the original line?

  it would miss the point

Step-by-step explanation:

If the compass point were placed randomly on the line and arcs drawn, you might get a perpendicular by connecting the points where the arcs intersect, but it is not guaranteed to go through the desired point.

answer: i don't understand. what are the options

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)