What is the equation of the line that passes through the points (4, -8) and (-8, 1)

y=-3/4x-5

Step-by-step explanation:

1.find the slope 1-(-8)/-8-4=-3/4

2.y-(-8)=-3/4(x-4)

  y+8=-3/4x+12/4

  y+8=-3/4x+3

 y=-3/4x+3-8

 y=-3/4x-5

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions