Writing the equation of a line parallel to another given and equation and a point

The video tutorial explains the concept of parallel lines having the same slope and demonstrates how to write the equation of a line using a given point and slope. It covers solving for the y-intercept (B) in the equation and provides techniques for handling fractions. The tutorial concludes with the final equation and a brief mention of perpendicular lines.

What is the slope of parallel lines?

• They have different slopes.

• They have the same slope.

• They have opposite slopes.

• They have no slope.

If a line has a slope of 2 and passes through the point (3, 5), what is the equation of the line?

• y = 2x + 1

• y = 2x - 1

• y = 2x + 5

• y = 2x - 5

When finding the equation of a line parallel to y = 2/5x - 7/5, what is the slope of the new line?

• 5/2

• 2/5

• 0

• -2/5

How do you handle subtracting a fraction from a whole number when calculating the y-intercept?

• Multiply the whole number by the fraction.

• Add the fraction to the whole number.

• Ignore the fraction.

• Convert the whole number to a fraction with the same denominator.

What is the next topic introduced after parallel lines?

• Perpendicular lines

• Intersecting lines

• Horizontal lines

• Collinear points