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 a given line using the equation Y = MX + B. It demonstrates graphing the original line, identifying the slope, and finding the new Y-intercept by substituting a given point into the equation. The tutorial concludes with the final equation of the parallel line.

What is the first step in graphing a line parallel to a given line?

• Determine the slope of the given line

• Calculate the midpoint of the given line

• Find the y-intercept of the new line

• Identify the x-intercept of the given line

Why must the slope of the new line be the same as the given line?

• To make the lines perpendicular

• To maintain parallelism between the lines

• To ensure the lines intersect

• To find the midpoint of the lines

What information is needed to find the new y-intercept of the line?

• The x-intercept of the original line

• The midpoint of the original line

• The slope of the new line

• A point through which the new line passes

How do you find the new y-intercept of the line?

• By using the midpoint formula

• By substituting the given point into the line equation

• By calculating the average of the x and y coordinates

• By using the distance formula

What is the final equation of the line parallel to y = -3/5x - 3 that passes through the point (5, -1)?

• y = -3/5x + 3

• y = 3/5x + 2

• y = -3/5x + 2

• y = -3/5x - 1