Finding Slopes of Parallel and Perpendicular Lines

The video tutorial explains how to find the slope of a line parallel and perpendicular to a given equation. It begins by discussing the properties of parallel and perpendicular lines, emphasizing that parallel lines have equal slopes, while perpendicular lines have slopes that are negative reciprocals. The tutorial then demonstrates how to find the slope by converting the equation into slope-intercept form. Finally, it calculates the slopes for both parallel and perpendicular lines, providing a clear understanding of the process.

What is the first step in solving the given problem?

• Find the y-intercept

• Identify the slope of the given equation

• Graph the equation

• Convert the equation to standard form

What is the relationship between the slopes of parallel lines?

• They are negative reciprocals

• One is double the other

• They are perpendicular

• They are equal

How do the slopes of perpendicular lines relate to each other?

• They are parallel

• One is double the other

• They are negative reciprocals

• They are equal

What form must the equation be in to easily identify the slope?

• Quadratic form

• Slope-intercept form

• Point-slope form

• Standard form

What is the first operation performed to convert the given equation to slope-intercept form?

• Add 2x to both sides

• Subtract 2x from both sides

• Multiply both sides by 5

• Divide both sides by -5

After subtracting 2x from both sides, what is the next step?

• Subtract 3 from both sides

• Divide both sides by -5

• Multiply both sides by -5

• Add 3 to both sides

What is the slope of the line after converting the equation to slope-intercept form?

• 3/5

• -3/5

• 2/5

• -2/5

What is the slope of a line parallel to the given line?

• 3/5

• -3/5

• 2/5

• -2/5

What is the slope of a line perpendicular to the given line?

• -2/5

• -5/2

• 5/2

• 2/5

Where can the negative sign be placed in the slope of the perpendicular line?

• Only in the numerator

• Only in the denominator

• Either in the numerator or denominator

• It cannot be placed