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

4 0

2 years ago

Juanita wants to model the equation 3x+2 = -x+ 6. She begins with the tiles below.

RSB [31]

Answer:

the answer is d

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F. Recta

Molodets [167]

Answer:

The answer is C : a cylinder with a base radius of 9 inches

Step-by-step explanation:

The area is 270² inches, and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a cylinder with a base radius of 9 inches.

7 0

3 years ago

Read 2 more answers

one week 72 people got a speeding ticket. the next week only 36 people got a speeding ticket. what is the percent of change in s

Ierofanga [76]

50% is the answer im just adding words now so it will go in

8 0

3 years ago