How to find an equation to a line parallel and through a point

The video tutorial explains how to find the equation of a line parallel to a given line, y = 3x - 3, that passes through a specific point, (4, -10). It highlights the importance of parallel lines having the same slope but different Y intercepts. The tutorial guides viewers through calculating the new Y intercept by substituting the given point into the equation. Finally, it formulates the equation of the parallel line using the same slope and the newly calculated Y intercept.

What is the slope of a line parallel to y = 3x - 3?

• 1

• 0

• -3

• 3

Which point does the new parallel line pass through?

• (4, -10)

• (0, 0)

• (3, -3)

• (1, 1)

What is the value of the new y-intercept for the parallel line?

• 3

• -11/2

• -3

• 11/2

How do you determine the y-intercept of a parallel line?

• Use the slope of the original line

• Use the x-coordinate of the given point

• Use the same y-intercept as the original line

• Substitute the given point into the line equation

What is the equation of the line parallel to y = 3x - 3 that passes through (4, -10)?

• y = 3x - 3

• y = 3x + 11/2

• y = 3x - 11/2

• y = -3x - 11/2