Chose the correct equation for the line shown on the graph?
y= -1/4x - 4
y= 1/4x -4
y= -1/4x - 1
y= 1/4x - 1

Y= -1/4x - 1

Step-by-step explanation:

we know that the equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (-4,0)

point 2: (4,-2)

we to find the slope:

m=(-2-0)/(4-(-4))

m=-2/8

m=-1/4

we need to find "b"

using the point (-4,0)

we have:

0=(-1/4)*(-4)+b

0=1+b

so we have b=-1

finally we have that the answer is:

y=-1/4x-1

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

answer:

idk

step-by-step explanation: