Contains (-3,7) and has a slope of -8/5

(y - yo) = m.(x - xo)

(y - 7) = -8/5.(x - (-3))

y - 7 = -8/5.(x + 3)

y - 7 = -8/5x - 24/5

y = -8/5x - 24/5 + 7

y = -8/5x + 11/5

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step-by-step explanation:

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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