What is an equation of the line that passes through the points (-6,-4) and (-4,0)? Put your answer in fully reduced form.

-4=-6a+b /×(-1)

0=-4a+b

4=6a-b

0=4a+b

4=10a

10a=4 /÷10

a=4/10 =2/5

4=6×2/5-b

4=12/5-b

8/5=-b

b=-8/5

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