Writing Linear Equations for Parallel and Perpendicular Lines

The video tutorial explains how to write the equation of a line that passes through a given point and is either parallel or perpendicular to another line. It covers the use of the point-slope formula and how to determine the slope of parallel and perpendicular lines. The tutorial includes example problems to illustrate the concepts, showing how to convert equations from standard form to slope-intercept form and how to verify solutions by checking if a point lies on the line.

What is the slope of a line parallel to the line y = 4x - 3?

• 4

• 3

• 1/4

• -3

After distributing and simplifying, what is y when x = 2 in the equation y - 3 = 4(x - 2)?

• 3

• 5

• 0

• -5

How do you convert the standard form equation 2x - 3y = 6 to slope-intercept form?

• Divide each term by 2

• Isolate y on one side

• Isolate x on one side

• Multiply each term by 2

What is the slope of the line after converting 2x - 3y = 6 to slope-intercept form?

• 3/2

• -2/3

• -3/2

• 2/3

What is the y-intercept of the line after converting 2x - 3y = 6 to slope-intercept form?

• 2

• -3

• 3

• -2

What is the correct point-slope form of the equation for a line passing through (3, -4) with a slope of 2/3?

• y - 4 = 3/2(x + 3)

• y + 4 = 2/3(x - 3)

• y - 4 = 2/3(x - 3)

• y + 4 = 3/2(x + 3)

What is the slope of a line perpendicular to y = 3/5x - 2?

• -3/5

• 3/5

• 5/3

• -5/3

What is the correct slope-intercept form of the equation for a line passing through (1, 2) and perpendicular to y = 3/5x - 2?

• y = -5/3x + 11/3

• y = 3/5x - 11/3

• y = 5/3x - 11/3

• y = -3/5x + 11/3

What is the y-value when x = 1 in the equation y = -5/3x + 11/3?

• 2

• 0

• 3

• 5

What is the negative reciprocal of 3/5?

• -5/3

• 3/5

• 5/3

• -3/5