Solving a system with a horizontal line by graphing

The video tutorial explains how to graph equations by converting them into slope-intercept form. It covers finding the Y-intercept and slope, graphing lines, and understanding horizontal lines with a slope of zero. The instructor also clarifies the concept of multiplication by one and its relevance in equations.

What is the slope-intercept form of the equation y - x = 3?

• y = -x + 3

• y = x + 3

• y = 3 - x

• y = 3x + 1

What is the y-intercept of the equation y = x + 3?

• 0

• 1

• 2

• 3

How do you describe the slope of the line y = x + 3?

• Down two, left one

• Up two, right one

• Down one, left one

• Up one, right one

What type of line does the equation y = 1 represent?

• Vertical line

• Diagonal line

• Curved line

• Horizontal line

What is the slope of the line y = 1?

• 1

• Undefined

• 0

• -1

Where do the lines y = x + 3 and y = 1 intersect?

• (-1, 2)

• (2, 1)

• (-2, 1)

• (1, 2)

Why might it be useful to write 1 * x instead of just x?

• To clarify the coefficient of x

• To change the value of x

• To make the equation longer

• To confuse the reader