Question

Pls help and show workings
Due ASAP

Answer 1

Answer: B

Explanation:

The equation
`y+2=(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=(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=-(4)/(3) x+b`. Then, because the line passes through -12, 1, plug those values in for x and y, respectively.

`1=-(4)/(3)*-12+b`

`1=16+b`

`-15=b`

Thus, the equation of the line is
`y=-(4)/(3) x-15`, or B.

Hope it helps :D