Write the equation of a line parallel to another through a point

The video tutorial explains how to write the equation of a line in slope-intercept form, focusing on lines parallel to a given line. It covers the properties of parallel lines, emphasizing that they share the same slope. The tutorial demonstrates how to find the y-intercept by substituting a given point into the equation. The final equation is presented, and the instructor addresses any questions.

What is the key characteristic of parallel lines in terms of their slopes?

• They have different slopes.

• They have the same slope.

• Their slopes are negative reciprocals.

• Their slopes are zero.

If a line is parallel to y = 3x - 2, what is the slope of the new line?

• 2

• 3

• -2

• -3

How do you find the y-intercept of a line that passes through a given point?

• Use the x-coordinate of the point.

• Multiply the coordinates of the point.

• Use the y-coordinate of the point.

• Substitute the point into the equation and solve for b.

What is the y-intercept of the line that passes through the point (-2, 12) and is parallel to y = 3x - 2?

• 3

• -6

• 18

• 12

What is the equation of the line that is parallel to y = 3x - 2 and passes through the point (-2, 12)?

• y = 3x - 18

• y = 3x + 18

• y = 3x - 12

• y = 3x + 12