The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

3 0

3 years ago

Mr. Piper is driving Roddy and Scott home from school. They both want to ride in the front seat. How can he make a fair decision

bagirrra123 [75]

Answer:

A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.

Step-by-step explanation:

In order for it to be a fair decision, both boys have to have an equal chance of being selected.

For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.

For choice B, there is 1 way to get both heads when flipping a coin. There are 2 ways to get heads and tails when flipping a coin. This gives Scott a greater chance, so this is not fair.

For choice C, there are 2 ways to get a 1 or a 2. There are 4 ways to get anything else. This gives Scott a greater chance, so this is not fair.

For choice D, there are 3 even numbers and 3 odd numbers. Both boys have an equal chance, so this is fair.

5 0

4 years ago