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

The video tutorial explains how to write the equation of a line that is perpendicular to another line. It covers the concept of opposite reciprocal slopes, which are used for perpendicular lines, and demonstrates how to apply the point-slope form to find the equation. The tutorial also guides on converting the equation to slope-intercept form and addresses handling fractions in equations.

What is the relationship between the slopes of two perpendicular lines?

• They are opposite reciprocals.

• They are equal.

• They are both positive.

• They are both negative.

How do you write the equation of a line in point-slope form?

• y - y1 = m(x - x1)

• x = my + b

• y = m(x + x1)

• y = mx + b

What is the first step in converting a point-slope form equation to slope-intercept form?

• Add the slope to both sides.

• Multiply the slope by x.

• Subtract y1 from both sides.

• Distribute the slope across the terms in parentheses.

When subtracting a fraction from a whole number, what must you do first?

• Add the fraction to the whole number.

• Multiply the whole number by the fraction.

• Convert the whole number to a fraction.

• Divide the whole number by the fraction.

Why is it important to have common denominators when subtracting fractions?

• To ensure the fractions are positive.

• To make the subtraction process easier.

• To convert the fractions to decimals.

• To accurately perform the subtraction.