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)

Respuesta :

Answer: b

Step-by-step explanation:

Answer:

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