Understanding Point-Slope Form of a Line

This video tutorial reviews the point-slope form of a line, explaining how to graph a line and find its equation using this form. It compares point-slope form with the more familiar slope-intercept form, highlighting the advantages of each. The tutorial includes examples of graphing lines and converting between forms, emphasizing the ease of use and flexibility of point-slope form.

What is the general form of the point-slope equation of a line?

• Y = MX + B

• Y - Y1 = M(X - X1)

• Y = M(X - X1) + B

• Y = M + X1

In the equation Y - 3 = -2(X + 4), what is the slope of the line?

• 1/2

• 4

• 3

• -2

How do you rewrite X + 4 in the form X - X1?

• X + 4

• X - 4

• X - (-4)

• X + (-4)

What is the Y-intercept of the line Y = -2X - 5?

• -2

• 0

• 5

• -5

When converting from point-slope to slope-intercept form, what operation is typically performed?

• Addition

• Subtraction

• Multiplication

• Distribution

If a line passes through the point (6, -3) with a slope of 1/2, what is the equation in point-slope form?

• Y - 6 = 1/2(X + 3)

• Y + 3 = 1/2(X - 6)

• Y + 6 = 1/2(X - 3)

• Y - 3 = 1/2(X + 6)

What is the slope of the line passing through the points (-1, 4) and (3, 5)?

• 2/3

• 1/2

• 1/4

• 3/4

Which form is generally easier for finding the Y-intercept directly?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

What is the final equation of the line in slope-intercept form if it passes through (3, 5) with a slope of 1/4?

• Y = 1/4X - 5

• Y = 1/4X + 5

• Y = 1/4X + 17/4

• Y = 1/4X - 17/4

What is the main advantage of using point-slope form over slope-intercept form?

• It is easier to graph.

• It requires less algebraic manipulation.

• It is more popular.

• It is easier to find the Y-intercept.