Finding the Equation of a Line with Point-Slope Form

What is the initial step in finding the equation of a line using point-slope form?

• Identifying the x-intercept

• Identifying the slope

• Identifying the y-intercept

• Identifying two points on the line

Which of the following points is used in the example to find the equation of the line?

• (2, 8)

• (-3, 5)

• (0, 0)

• (1, 1)

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

• y = x + b

• y = mx + b

• y - y1 = m(x - x1)

• y = m(x - x1) + b

How is the slope (m) calculated between two points?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

What is the slope of the line passing through the points (-3, 5) and (2, 8)?

• 3/5

• 1/2

• 2/1

• 5/3

After substituting the slope and a point into the point-slope form, what is the next step?

• Finding the y-intercept

• Simplifying the equation

• Converting to slope-intercept form

• Checking the solution

What is the slope-intercept form of the equation derived in the video?

• y = 3/5x - 34/5

• y = 5/3x + 34/5

• y = 3/5x + 34/5

• y = 5/3x - 34/5

Why might some teachers prefer the slope-intercept form over the point-slope form?

• It is easier to understand

• It is more commonly used

• It provides algebra practice

• It is simpler to calculate

What is the final equation of the line in slope-intercept form?

• y = 3/5x + 34/5

• y = 5/3x + 34/5

• y = 5/3x - 34/5

• y = 3/5x - 34/5

What is the purpose of converting the point-slope form to slope-intercept form?

• To simplify the equation

• To find the y-intercept

• To make it easier to graph

• To find the x-intercept