What is an equation of the line that passes through the point (1,-3) and is parallel to the line 4x+y=4?

y=-4x+1

Step-by-step explanation:

we know that parallel lines have equal slopes

first, we need to put 4x+y=4 into y=mx+b form

4x+y=4

-4x    -4x

y=-4x+4

this means we have a slope of -4

we now know the new slope has to be -4

since we are given a point, we can put this into slope point form

the equation for this is y-y1=m(x-x1) with m posing as our slope

now we plug in

y--3=-4(x-1)

y+3=-4x+4

-3           -3

y=-4x+1

we now know the y-intercept is 1

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.