Homework 2.1

1.   Enter the correct answer that completes the sentence below.

The​ y-intercept of the graph of y=−3x+7 is _____

2.  Enter the correct answer that completes the sentence below.

The​ x-intercept of the graph of 2x+8y=16 is ____

3.   Enter the correct answer that completes the sentence below.

The distance from the origin to the point ​(−9​, 12​) is ____

4.   Determine whether the statement is true or false. If the statement is​ false, explain why.

The graph of y=

+16 has no​ x-intercepts.

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1. ​False; the​ x-intercept of the graph of y=
   $x^2$

   +2 is _____

2. True

5. Determine whether the statement is true or false. If the statement is​ false, explain why. The graph of y=

−11 has two​ x-intercepts.

Select the correct choice below.

1. ​False; the graph of y=
   $x^2$

   -11 has three​ x-intercepts.

2. ​False; the graph of y=
   $x^2$

   −11 has only one​ x-intercept.

3. ​True; the graph of y=
   $x^2$

   −11 has two​ x-intercepts.

4. ​False; the graph of y=
   $x^2$

   −11 has no​ x-intercepts.

6. For the point P(11,16) and Q(18,19)​,  find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ.

What is the​ distance?