Finding the Equation of a Line from Coordinates

The video tutorial explains how to find the equation of a line given two points. It covers the slope-intercept form, calculating the slope, and finding the y-intercept. The tutorial also visualizes the line on a coordinate plane and discusses lines parallel to the y-axis and x-axis, highlighting their unique characteristics.

What is the slope-intercept form of a line's equation?

• y = mx + b

• y = m/x + b

• y = mx - b

• x = my + b

How do you calculate the slope of a line given two points?

• (x2 + x1) / (y2 + y1)

• (y2 + y1) / (x2 + x1)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

If the slope (m) is 1, what is the equation of the line?

• y = x + b

• y = b - x

• y = 1/x + b

• y = x - b

What is the equation of a line with a y-intercept of -1 and a slope of 1?

• y = -x - 1

• y = -x + 1

• y = x + 1

• y = x - 1

What does a positive slope indicate about the direction of a line?

• The line rises from left to right

• The line is vertical

• The line is horizontal

• The line falls from left to right

What is the equation of a line that is parallel to the Y-axis and passes through (3, 0)?

• x = 3

• y = 3

• y = 0

• x = 0

For a line parallel to the Y-axis, what is its y-intercept?

• Undefined

• The y-coordinate of the point it passes through

• The x-coordinate of the point it passes through

• 0

What is the slope of a line parallel to the X-axis?

• 1

• -1

• 0

• Undefined

If a line has no tilt and the rise is zero, what is its slope?

• 1

• Undefined

• 0

• -1

What is the y-intercept of a line that meets the Y-axis at 2?

• 1

• -2

• 2

• 0