Exploring Point Slope Form Concepts

Why might we prefer point-slope form over slope-intercept form?

• When only the y-intercept is known

• When the equation is non-linear

• When the slope is 0

• When the y-intercept is unknown

Which of the following is a correct interpretation of the point-slope form equation?

• It is used only when the slope is negative

• It is less accurate than the slope-intercept form

• It requires both the slope and the y-intercept

• It can be used with any point on the line, not just the y-intercept

What does 'y1' represent in the point-slope form equation?

• The slope of the line

• The x-coordinate of a given point

• The y-coordinate of a given point

• The y-intercept of the line

In the point-slope form equation, what does 'm' represent?

• The y-intercept of the line

• The y-coordinate of a given point

• The x-coordinate of a given point

• The slope of the line

If a line has a slope of -3 and passes through (-1, 7), what is the point-slope form of the equation?

• y - 7 = -3(x + 1)

• y + 7 = -3(x - 1)

• y - 7 = 3(x + 1)

• y + 7 = 3(x - 1)

What is the point-slope form equation for a line with a slope of 2/3 passing through (10, -8)?

• y + 8 = 2/3(x - 10)

• y - 8 = 3/2(x + 10)

• y - 8 = 2/3(x + 10)

• y + 8 = 3/2(x - 10)

How do you find the slope between two points?

• y2 + y1 / x2 + x1

• y2 - y1 / x2 - x1

• x2 + x1 / y2 + y1

• x2 - x1 / y2 - y1

What is the slope of the line that passes through the points (1, 2) and (4, 6)?

• 3/2

• 4/3

• 2/3

• 3/4

When converting point-slope form to slope-intercept form, what operation do you perform first?

• Isolate the y variable

• Subtract y1 from both sides

• Add y1 to both sides

• Distribute the slope to the x terms

What is the final step when converting an equation from point-slope to slope-intercept form?

• Subtracting y1 from both sides

• Adding y1 to both sides

• Adding 2 to both sides to isolate y

• Distributing the slope across the x terms