Determine a line parallel to another through a given point using slope intercept form

The video tutorial explains how to write an equation of a line parallel to a given line using the slope-intercept form. It covers identifying the slope for parallel lines, using a given point to find the Y-intercept, and solving for the Y-intercept to complete the equation.

What is the slope of a line that is parallel to the line y = -1/3x - 8?

• 3

• -3

• 1/3

• -1/3

Which point is used to determine the y-intercept of the new line?

• (0, 0)

• (9, -1)

• (1, 9)

• (-1, 9)

How do you find the y-intercept of a line when given a point and the slope?

• Multiply the slope by the x-coordinate

• Substitute the point into the equation and solve for b

• Divide the y-coordinate by the slope

• Add the slope to the y-coordinate

What is the y-intercept of the line that is parallel to y = -1/3x - 8 and passes through (9, -1)?

• 8

• -3

• 0

• 2

What is the equation of the line that is parallel to y = -1/3x - 8 and passes through the point (9, -1)?

• y = -3x + 2

• y = -1/3x - 8

• y = -1/3x + 2

• y = 1/3x + 2