Writing Equations of Lines in Slope-Intercept Form

This video lesson by Kirk Weiler focuses on writing equations in slope-intercept form. It begins with an introduction to the concept, followed by exercises that range from basic to advanced, including handling negative slopes and fractions. The lesson also includes practice problems and an applied problem involving linear modeling. The video concludes with a summary of key points and takeaways.

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

• y = ax + b

• y = mx^2 + b

• y = ax^2 + bx + c

• y = mx + b

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

• The y-intercept

• The slope

• The x-intercept

• The constant term

How do you determine the slope of a line from a graph?

• By finding the y-intercept

• By calculating the change in y divided by the change in x

• By finding the x-intercept

• By measuring the length of the line

What is the y-intercept of the line y = 3/2x + 2?

• 0

• 3

• 2

• 3/2

When given a line with a negative slope, what should you be careful about?

• The slope being negative

• The y-intercept being non-integer

• The slope being positive

• The y-intercept being an integer

How do you find the y-intercept if it is not an integer?

• By measuring the graph

• By substituting a point into the equation

• By using the slope formula

• By guessing

What is the first step in finding the equation of a line given two points?

• Testing the equation

• Finding the slope

• Drawing the graph

• Finding the y-intercept

If a line passes through the points (2, 5) and (5, 17), what is its slope?

• 2

• 3

• 4

• 12

In the context of a car traveling, what does the slope represent?

• The y-intercept

• The time taken

• The speed of the car

• The distance from the starting point

Given the points (1, 72) and (3, 188), what is the equation of the line representing the car's distance from Chicago?

• D = 58H - 14

• D = 58H + 14

• D = 72H + 3

• D = 188H + 1