Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: .

If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is
. If the coordinates of point D are (5 , 5), the equation of line is y =
x +
.

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