Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the slope-intercept form of a linear equation, represented as y = mx + b, where m is the slope and b is the y-intercept. It explains how to write equations using given slope and intercept values and demonstrates how to identify these values from graphs. The tutorial includes multiple examples to illustrate these concepts, emphasizing the importance of simplifying slopes and understanding the graphical representation of linear equations.

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

• Coefficient of y

• Slope

• X-intercept

• Y-intercept

If the slope (m) is 2 and the y-intercept (b) is -1, what is the equation in slope-intercept form?

• y = -2x + 1

• y = -2x - 1

• y = 2x - 1

• y = 2x + 1

How do you write an equation with a slope of -3/5 and a y-intercept of 4?

• y = -3/5x + 4

• y = -3/5x - 4

• y = 3/5x + 4

• y = 3/5x - 4

What is the slope-intercept form of an equation with a slope of 1/4 and a y-intercept of 0?

• y = 1/4x

• y = x/4

• y = 1/4x + 1

• y = 1/4x - 1

How do you find the slope from a graph?

• Multiply the rise by the run

• Count the rise over the run

• Count the run over the rise

• Divide the rise by the run

Given a graph, if you move down 6 and right 4, what is the simplified slope?

• -3/2

• 3/2

• -2/3

• 2/3

What is the equation of a line with a slope of 2/5 and a y-intercept of -3?

• y = -2/5x + 3

• y = 2/5x + 3

• y = 5/2x + 3

• y = 2/5x - 3

If a line goes through the point (0, 5) and has a slope of 1/4, what is the equation?

• y = 1/4x + 5

• y = 4x + 5

• y = 1/4x - 5

• y = -1/4x + 5

How do you write the equation of a line with a slope of 4/3 and a y-intercept of 0?

• y = 4/3x + 3

• y = 3/4x

• y = 4/3x

• y = 3/4x + 4

What is the equation for a line with a slope of -5 and a y-intercept of 8?

• y = -5x + 8

• y = 5x - 8

• y = -5x - 8

• y = 5x + 8