Understanding Slope and Y-Intercept

The video tutorial guides students through identifying the equation of a graph using slope-intercept form. It explains the components of the equation, focusing on the slope and y-intercept. The instructor demonstrates how to determine the slope's sign and use process of elimination to find the correct equation. The tutorial concludes by evaluating the y-intercept to confirm the answer.

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

• y = ax^2 + bx + c

• y = mx + b

• y = a/x + b

• y = mx^2 + b

What does the letter 'M' represent in the slope-intercept form?

• X-intercept

• Slope

• Constant

• Y-intercept

How can you tell if a slope is negative by looking at a graph?

• The line goes downhill

• The line is horizontal

• The line is vertical

• The line goes uphill

What is the 'rise over run' used to determine?

• The x-intercept

• The midpoint

• The slope

• The y-intercept

If a line goes down and to the right, what is the sign of the slope?

• Zero

• Undefined

• Negative

• Positive

What should you do if an equation has a positive slope but the graph shows a negative slope?

• Select the equation

• Recalculate the slope

• Eliminate the equation

• Check the y-intercept

What is the y-intercept of a line?

• The point where the line crosses the y-axis

• The point where the line crosses the x-axis

• The steepness of the line

• The midpoint of the line

How can you use the y-intercept to verify the correct equation?

• By checking if it matches the midpoint

• By checking if it matches where the line crosses the y-axis

• By checking if it matches the slope

• By checking if it matches the x-intercept

If a line crosses the y-axis at a positive number, what should the y-intercept be?

• Negative

• Positive

• Zero

• Undefined

What is the final step in using process of elimination to find the correct equation?

• Check the x-intercept

• Check the slope

• Check the y-intercept

• Check the midpoint