Graphing Equations and Intersections

The video tutorial guides students through graphing equations using Desmos, focusing on finding points of intersection. It explains key concepts like intersections, constants, and coefficients, and demonstrates how to solve equations graphically. Students are encouraged to use technology for graphing and to confirm solutions algebraically.

What is the meaning of 'intersection' in the context of graphing equations?

• Where two lines cross each other

• Where two lines are tangent

• Where two lines are parallel

• Where two lines are perpendicular

In the equation y = -x + 2, what is the constant?

• -1

• 0

• 2

• 1

What is the coefficient of x in the equation y = x?

• 0

• -1

• 1

• 2

How are the coordinates of a point of intersection written?

• {x, y}

• [x, y]

• (x, y)

What should you do after using technology to find intersections?

• Draw all graphs manually

• Draw at least one graph manually

• Only use technology

• Ignore the graphs

What does 'solving graphically' mean?

• Using algebra to solve

• Using graphs to find solutions

• Using tables to solve

• Using verbal explanations

In the equation 2x - 1 = x + 2, what is the x-coordinate of the intersection point?

• 1

• 2

• 4

• 3

When solving 2x - 1 = x + 2 algebraically, what is the first step?

• Divide both sides by 2

• Add 1 to both sides

• Multiply both sides by 2

• Subtract x from both sides

What operation is used to isolate x in the equation 2x - 1 = x + 2?

• Division

• Multiplication

• Subtraction

• Addition

Which number is the focus when solving the equation 2x - 1 = x + 2 graphically?

• The x-coordinate

• The constant

• The coefficient

• The y-coordinate