Write in slope-intercept form an equation of the line that passes through the points (−5,−9) and (5,1).

y=x-4

Step-by-step explanation:

The slope is given by

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

m = (1--9)/(5--5)

m = (1+9)/(5+5)

    = 10/10

   = 1

The slope is 1

We have the slope and a point,so we can use point slope form

y-y1 = m(x-x1)

y-1 = 1(x-5)

y-1 = x-5

Add 1 to each side

y-1+1 = x-5+1

y=x-4

This is slope intercept form (y= mx+b)

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.