What are the slope and y-intercept of the line 3x-2y=12

C

Step-by-step explanation:

To find the slope and the y-intercept, rewrite the given equation into the form of y= mx +b. This means that the equation have to be written in such a way that the coefficient (the number before a variable, which is y in this case) of y is 1, and that all the other terms are on the right hand side of the equation.

3x -2y =12

Bring the x terms over to the right hand side of the equation:

Divide by -2 throughout so coefficient of y is 1:

After the equation is in the form of y= mx +b, identify the coefficient of x and the constant. The coefficient of x is the slope and the constant (number that is not attached to any variable) is the y-intercept.

Thus, slope is 3/2 and the y-intercept is -6.

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fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.