Write an equation of the line that is perpendicular to the line y = 1/2x + 8 that passes through the point (4,6)

y= -2x + 14

Step-by-step explanation:

The slope of a perpendicular line is always the opposite reciprocal.  Since we already have the x value and the y value lets put them in to solve the equation.

6= -2(4)+b

6= -8+b

subtract -8 from each side to get.

6-(-8)= 14

-8-(-8)=0

14=b

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation:

if y=4x then you will substitute 4x in for y in the second equation.

8x + 4x = 18 combine like terms

12x = 18 divide by 12 on both sides

x = 18/12 or 3/2

now replace x in the first equation with 3/2 to get

y = 4 3/2

y = 6

the answer is a

(3/2,6)

hope that .

brainliest is always apprectiated