Writing the parallel equation of a line

The video tutorial explains how to find the equation of a line parallel to a given line that passes through a specific point. It begins with a rough sketch and discusses the characteristics of parallel lines, emphasizing that they have the same slope. The tutorial then demonstrates how to calculate the Y-intercept by plugging in the given point into the line equation. The process concludes with the determination of the new Y-intercept, ensuring the line is parallel to the original. The tutorial ends with a brief transition to the next problem.

What is the key characteristic of parallel lines?

• They have different slopes.

• They have the same slope.

• They are perpendicular.

• They intersect at one point.

If a line is parallel to another line with a slope of 1/2, what is the slope of the parallel line?

• 2

• 0

• 1/2

• -1/2

How do you find the y-intercept of a line if you know a point on the line and its slope?

• Substitute the point into the line equation and solve for the y-intercept.

• Use the point to solve for the slope.

• Calculate the average of the x-coordinates.

• Find the midpoint of the line.

What is the y-intercept of the new line if the point (-8, 5) is used and the slope is 1/2?

• -7

• 7

• 9

• 5

What was the final y-intercept determined for the parallel line?

• Negative seven

• Zero

• Nine

• Positive seven