In math class, students must randomly draw a card that contains an equation that they must graph on the board.

If the cards contain the following equations, what is the probability that a student will graph a line whose slope is 3?

3y = 9x + 3
x(x + 3) = 0
3x + y = 0
x = 3y
x 2 + 3 = 0
y - 3x = 0

Answer choices: (1/6, 1/3, 1/2, 2/3)

2/3

Step-by-step explanation:

How many equations here have a slope of 3?

We need to find them and count them.

3y = 9x + 3

1st.  y = 3x + 1  has slope 3

2nd ... x(x+3) = 0  is not a line

3rd.  3x + y = 0    y = -3x

4rth.   x^2 + 3 = 0  is not a straight line

5th   y - 3x = 0  is  y = 3x    yes has slope 3

Only 2 equations have a slope of 3.     2 out of 5 total but...

But there are only 3 equations here that are straight lines

so  2 out of 3

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: