The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?

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Step-by-step explanation:

4 - 9 = x - 2

-5 = x - 2

-3 = x

this is a vertical line (parallel to the y-axis) at x = -3.

that means the slope of this line is "undefined". or some would call it "infinite".

as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.

now the change of x for this line is constant 0.

so, we have a slope y/0, which is undefined.

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

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

combining like terms

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

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions