Exploring Rational Expressions: Addition and Subtraction

The video tutorial explains how to write a linear equation in slope-intercept form given two points. It begins with an introduction to the slope-intercept form, y = mx + b, and explains the roles of slope (m) and y-intercept (b). The tutorial then guides viewers through finding the slope using the formula 'rise over run' and substituting the slope and one set of points into the equation to find the y-intercept. Finally, it demonstrates how to write the complete equation and provides practice problems for reinforcement.

What is the general form of a slope-intercept equation?

• y = ax^2 + bx + c

• y = mx + b

• y = mx^2 + b

• y = ax + b

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The slope

• The constant term

• The x-intercept

How do you calculate the slope between two points?

• y2 - y1 / x2 - x1

• x1 - x2 / y1 - y2

• x2 - x1 / y2 - y1

• y1 - y2 / x1 - x2

What is the slope of the line passing through the points (3, 1) and (-6, 7)?

• -2/3

• 2/3

• -3/2

• 3/2

After finding the slope, what is the next step to find the y-intercept?

• Find the midpoint of the two points

• Calculate the average of the y-values

• Calculate the average of the x-values

• Substitute the slope and one point into the equation y = mx + b

If the slope is -2/3 and the point (3, 1) is on the line, what is the y-intercept?

• 1

• 2

• 3

• 4

What is the final equation of the line with slope -2/3 and y-intercept 3?

• y = -2/3x - 3

• y = -3/2x + 3

• y = 2/3x + 3

• y = -2/3x + 3

What is the slope of the line passing through the points (2, -4) and (1, 2)?

• 2

• 1

• -1

• -2

If the slope is -2 and the point (1, 2) is on the line, what is the y-intercept?

• 3

• 2

• 1

• 0

What is the final equation of the line with slope -2 and y-intercept 0?

• y = -2x

• y = 2x

• y = -2x + 2

• y = 2x - 2