A line has the points (-3,-8) and (3,y). The slope of the line is 2/3. what is the value of y?

 The value of y is -4.

Step-by-step explanation:

Using the Slope-intercept form formula, we can use the given coordinates for x and y and input it into the formula to solve for the y intercept.  

Slope Intercept formula:  y = mx + b  where m is the slope and b is the y-intercept.

(-3,-8)  Using this point, we will input the values for x and y.

-8 = 2/3(-3) + b

-8 = -2 + b

+2    +2

b = -6  

The y intercept is -6  and the equation will be y= 2/3x -6

Now input the value for x from the point (3,y)and solve for y.

y = 2/3(3)-6

y = 2 -6

y = -4  

This means that when x is 3, the value of y will be -4.

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.