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Answer:
x + 3y + 11 = 0 is the required equation.
Step-by-step explanation:
Here the given points are A( -2,-3) and B(4,-5)
Now, slope of the equation =
Hence, the slope of the equation is m = (-1/3)
Now, by POINT SLOPE FORMULA:
The equation of a line with slope m and point (x0, y0) is given as
(y - y0) = m (x -x0)
So, here the equation of line with (4, -5) is
or, 3y + 15 + x-4 = 0
or, x + 3y + 11 = 0
⇒ x + 3y + 11 = 0 is the required equation.
The equivalent expression is . Option B
<h3>How to determine the expression</h3>
Given the expression
=
Divide the multipliers, we have
=
Let factorize the numerator in square root
=
Eliminate the like factor in both the numerator and denominator
=
Let's bring forth the 'x' factor, we have
=
Thus, the equivalent expression . Option B
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