Please help! Please explain what a integer exponent means and what’s the answer

Number 4

Step-by-step explanation:

Using the rule of radicals/ exponents

⇔

An integer is a whole number including negative numbers and zero

Z = { ..... - 3, - 2, - 1, 0, 1, 2, 3, .......... }

Consider each in turn using the above rule

(1)

= ← exponent is not an integer

(2)

= ← exponent is not an integer

(3)

= ← exponent is not an integer

(4)

= = x² ← exponent simplifies to an integer

any line whose slope not equal to -4 does not satisfy these requirements.

step-by-step explanation:

going from (1,2) to (3, -6), x increases by 2 and y decreases by 8.   thus, the slope of a line thru those two points has the slope m = -8/2, or   m = -4.

thus, no line that has a slope different from m = -4 could be appropriate.