Writing Equations with Point Slope Form from Two Points

The video tutorial explains how to write the equation of a line using point-slope form when given a slope and a point. It also covers converting this form to slope-intercept form. The tutorial then demonstrates how to find the slope from two points and use it to write the equation of a line. The process involves calculating the slope as the change in y over the change in x and then using point-slope form to derive the equation.

What is the first step in finding the equation of a line given the slope and a point?

• Plug in the slope and the point into the point-slope form

• Find the y-intercept

• Calculate the midpoint

• Convert to slope-intercept form

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

• The y-coordinate

• The slope

• The y-intercept

• The x-coordinate

How do you convert from point-slope form to slope-intercept form?

• Distribute the slope and move the constant to the right

• Multiply the slope by the x-coordinate

• Add the slope to the y-coordinate

• Subtract the x-coordinate from the y-coordinate

What is the slope-intercept form of the equation?

• y = mx + b

• y = m(x - x1) + y1

• y = m(x + x1) - y1

• y = m(x - x1) - y1

What is the formula to find the slope between two points?

• x2 - x1 / y2 - y1

• x1 - x2 / y1 - y2

• y2 - y1 / x2 - x1

• y1 - y2 / x1 - x2

Given points (2, 3) and (-1, 7), what is the slope?

• -3/4

• -4/3

• 3/4

• 4/3

Which point is chosen to finalize the equation in point-slope form?

• (1, 1)

• (0, 0)

• (-1, 7)

• (2, 3)

What is the point-slope form of the equation given the slope -4/3 and point (2, 3)?

• y - 3 = -4/3(x + 2)

• y + 3 = -4/3(x - 2)

• y - 3 = -4/3(x - 2)

• y + 3 = -4/3(x + 2)

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

• y + y1 = m(x + x1)

• y + y1 = m(x - x1)

• y - y1 = m(x + x1)

• y - y1 = m(x - x1)

What is the next step after finding the slope when given two points?

• Convert to slope-intercept form

• Choose one of the points to use in the point-slope form

• Find the midpoint

• Calculate the y-intercept