Linear Equation Day 2 - What is a Graph?

Multiple Select

Which point(s) are on an axis?

• (0, -3)

• (2, 0)

• (4, 0)

• (3, 4)

Multiple Select

Which of the coordinates listed is NOT in a quadrant?

• (3, 0)

• (0, 0)

• (4, 0)

• (0, -3)

​Write this down.

​Quadrants

A point that is on an axis, or at the origin, is not in a quadrant. It is on a boundary of a quadrant.​

What is a coordinate on the y - axis?​

Multiple Choice

Which point is not on the x - axis?

• (3, 0)

• (-4, 0)

• (0, 0)

• (0, 2)

​All points on the x - axis have a y - coordinate of 0.

Multiple Select

Which point is not on the y - axis?

• (3, 0)

• (-4, 0)

• (0, 0)

• (0, 2)

​All points on the y - axis have a x - coordinate of 0.

​

(0, 3) is on the y - axis while (3, 0) is on the x - axis.​

​Today - Linear Equations Day 2

What is a graph?​

Today we will learn what a graph is and why the graphs we will be learning about are called linear. We will build upon our knowledge of the coordinate plane to learn about solutions to equations and learn to find a value of two variable equation when given one value.​

It's going to be better than ice cream!​

Poll

Did you know that you get a grade for participating in the lesson?

All you have to do is sign in with your first name and last initial and participate. You get a 100% if you miss 3 or fewer questions.

• Yes, I did know that.

• No, I did not know that.

• Yes, and I like that idea.

• No, but I like that idea.

Fill in the Blanks

What is a graph?

Multiple Choice

Is the origin on the graph?

• No

• Yes

Multiple Choice

Is the point (0, $$\frac{7}{2}$$  ) on the graph?

• Yes

• No

Multiple Choice

How many solutions does 2x + 3 = 11 have?

• 0

• 1

• 4

• Infinitely many

Multiple Choice

How many solutions does 2x + 3 = y have?

• 0

• 1

• 4

• Infinitely many

Multiple Select

The ordered pair (-1, 1) is a solution to the equation y = 2x + 3. Select the ways in which we know this is true.

• The point (-1, 1) is on the graph of y = 2x + 3.

• When substituting x = -1 and y = 1 into y = 2x + 3, we get a true statement.

• This is a trick question. (-1, 1) is NOT a solution to the equation.

• Because it is in the second quadrant.

Multiple Choice

In the equation y = x - 3, what does y equal when x is 11?

• -8

• -14

• 5

• 14

• Answer not shown.

Multiple Choice

Why are some equations called linear?

• To confuse us.

• Because not all equations make straight lines when graphed.

• Because the solutions form a line.

• Answer not shown.

Multiple Choice

Is the graph of the equation shown linear or non-linear?

• linear.

• non-linear.

• I'm not sure.

Poll

Do you feel like you are ready for the quiz tomorrow?

• Yes, this helped.

• No, I didn't take very good notes today.

• Bring it on, bruh.