How to write the equation of a line parallel to another through a point

The video tutorial explains how to graph a line parallel to y = 2x - 5 that passes through the point (0, -2). It begins by graphing the original line, identifying the y-intercept and slope. Then, it demonstrates how to find and graph a parallel line using the same slope but a different y-intercept, ensuring it passes through the specified point.

What is the y-intercept of the line y = 2x - 5?

• 0

• 2

• -5

• 5

How do you determine the slope of a line parallel to y = 2x - 5?

• Use a slope of 0

• Use the opposite slope, -2

• Use a slope of 1

• Use the same slope, 2

What is the y-intercept of the new line that passes through the point (0, -2)?

• -2

• 0

• 2

• -5

Which point does the new parallel line pass through?

• (0, 5)

• (0, -2)

• (5, 0)

• (2, 0)

What is the slope of the line parallel to y = 2x - 5?

• 1

• 0

• -2

• 2