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If two lines are perpendicular, then their slopes have a product of -1 or you could say they are opposite signed reciprocals of each other.
The given equation has a slope of -3. We know this because it is in slope-intercept form y = mx + b ...y = (slope)x + (y-intercept).
so taking the slope -3...the opposite signed reciprocal would be +

Now we have a slope and a point... we can use them to find the b (y-intercept)
x = 4, y = 3, and m =



Using the common denominator fraction for 3, we subtract 4/3 from both sides


plug the values for m and b into the slope intercept form
Option B

<em><u>Solution:</u></em>
Given that, we have to simplify the given expression
Given expression is:

We can simplify the expression by cancelling the common terms in numerator and denominator
Take the common terms out in given expression

Cancel the common terms in numerator and denominator

<em><u>Thus the simplified form of given expression:</u></em>

Thus option B is correct
The slope is -10, I used a graph for this.