What is an equation of the line that passes through the point (8,2) and is parallel to the line x+4y=28

y = -1/4x + 4

Step-by-step explanation:

x+4y=28

4y = -x + 28

y = -1/4x + 7

slope m = -1/4

Parallel lines have similar slope so we'll use -1/4 from above and given point (8,2) to find y-intercept.

y = mx +b

2 = -1/4(8) + b

2 = -2 + b

b = 4

Using m and b from above we can now form the new equation of line that is parallel to y = -1/4x + 7.

y = mx + b

y = -1/4x + 4

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

sine

step-by-step explanation: