Question

Write an equation that represents the line. Use exact numbers.

Answer 1

Answer:

y = -1/2 x - 3 1/2

Step-by-step explanation:

points (1, -4)   (3,-5)

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

slope = (-5--4)/(3-1)

          = (-5+4) /2

            =-1/2

point slope form of a line

y-y1 = m(x-x1)

y--4 = -1/2 (x-1)

y+4 = -1/2 (x-1)

if we want slope intercept form

distribute

y+4 = -1/2 x + 1/2

subtract 4 from each side

y+4-4 = -1/2 x + 1/2 -4

y = -1/2 x - 3 1/2