Writing Equations in Slope-Intercept Form

This video tutorial continues the discussion on slope-intercept form, focusing on writing equations from a given point and slope or from two points. It explains how to find the y-intercept when only the slope and a point are given, and how to derive the equation of a line using two points. The video includes examples and practice problems to reinforce the concepts.

What is the slope-intercept form of an equation?

• y = mx + b

• y = m/x + b

• y = mx - b

• y = mx^2 + b

What does the 'm' in the slope-intercept equation represent?

• The y-intercept

• The x-intercept

• The slope of the line

• The midpoint of the line

How do you calculate the y-intercept when given a slope and an ordered pair?

• Multiply the slope with the x-value of the pair

• Add the slope to the y-value of the pair

• Use the slope and the pair in the equation y = mx + b and solve for b

• Divide the slope by the y-value of the pair

If given a slope of 1/2 and a point (2, -3), what is the y-intercept?

• -2

• -4

• 2

• 4

What happens if the x-value of the given ordered pair is 0?

• The equation cannot be solved

• The x-value needs to be recalculated

• The y-value of the pair is the y-intercept

• The y-value of the pair is the slope

If the slope is -3 and the ordered pair is (0, 4), what is the equation of the line?

• y = 3x + 4

• y = -3x - 4

• y = 3x - 4

• y = -3x + 4

How do you find the slope between two points?

• (y2 + y1) / (x2 + x1)

• (x2 + x1) / (y2 + y1)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

What is the first step in writing an equation in slope-intercept form from two points?

• Plot the points on a graph

• Choose an ordered pair to use

• Find the slope using the two points

• Calculate the y-intercept

When given two points, which one should you use to solve for B?

• The point with the higher x-value

• The point with the lower y-value

• Either point can be used

• The point closer to the y-axis

What is the slope of a line between the points (3, 4) and (5, 6)?

• 1

• 2

• -1

• 1/2