Question

Pls help and show workings Due ASAP

Answer 1

Answer: B

Step-by-step explanation:

The equation $y+2=\frac{3}{4} x-8$ is not yet in slope-intercept form($y=mx+b$).  Simply subtract 2 from both sides to turn the equation into slope intercept form as $y=\frac{3}{4}x-10$.  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: $y=-\frac{4}{3} x+b$.  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

$1=-\frac{4}{3}*-12+b$

$1=16+b$

$-15=b$

Thus, the equation of the line is $y=-\frac{4}{3} x-15$, or B.

Hope it helps :D