Understanding Linear Equations and Graphs

The video tutorial covers key features of graphs of linear functions, focusing on slope and intercepts. It explains how to graph linear equations using the slope-intercept form and analyzes graphs for discrete and continuous data. The tutorial also includes real-world applications and word problems to illustrate the concepts.

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

• b = mx + y

• y = mx + b

• y = b + mx

• x = my + b

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

• Origin

• Y-intercept

• Slope

• X-intercept

Where does the y-intercept occur on a graph?

• Where the line crosses the x-axis

• Where the line crosses the y-axis

• At the origin

• At the highest point of the line

What is the mnemonic used to remember the x-intercept?

• X is for intercept

• Cross at zero

• Zero's last name is zero

• X marks the spot

How do you calculate the slope using two points?

• Subtract the x-values

• Run over rise

• Rise over run

• Divide the y-values

Why is it preferred to write slopes as fractions when graphing?

• Fractions are easier to calculate

• Fractions are easier to graph

• Fractions are more accurate

• Fractions are simpler

What does a negative slope indicate about the direction of a line?

• The line is horizontal

• The line is vertical

• The line goes downhill

• The line goes uphill

How can you determine if data is discrete or continuous?

• By looking at the intercepts

• By calculating the domain

• By examining the situation

• By checking the slope

What is the significance of a zero in a graph?

• It represents the y-intercept

• It is where the line crosses the x-axis

• It is the highest point on the graph

• It is the midpoint of the line

How do you find the zero of an equation?

• Calculate the slope

• Set y to zero and solve for x

• Find the midpoint

• Set x to zero and solve for y