How to Write the Equation of a Line

The video tutorial explains how to write the equation of a line in slope-intercept form. It begins with a problem statement about a line passing through a point and having a y-intercept. The viewer is encouraged to pause and solve the problem. The tutorial then explains how to identify the slope and y-intercept, using a table of values to find the slope. Finally, it concludes with the correct equation of the line and a summary of the solution.

What is the y-intercept of the line described in the problem?

• 2

• 4

• 10

• 0

Which form are the equations written in, as mentioned in the video?

• Point-slope form

• Standard form

• Quadratic form

• Slope-intercept form

What is the slope of the line that passes through the points (0, 4) and (2, 10)?

• 4

• 1

• 2

• 3

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

• Subtract the x-coordinates and divide by the y-coordinates

• Multiply the x-coordinates and y-coordinates

• Add the x-coordinates and y-coordinates

• Subtract the y-coordinates and divide by the x-coordinates

What is the final equation of the line in the problem?

• y = 3x + 4

• y = 4x + 3

• y = 3x + 2

• y = 2x + 4