Understanding Linear Equations and Slopes

The video tutorial explains how to find the equation of a linear function at a grade 9 level. It introduces the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. The tutorial demonstrates how to calculate the slope by selecting two points on a line and using the rise over run method. It also shows how to determine the y-intercept by identifying where the line crosses the y-axis. Finally, the video guides viewers through writing the complete equation of the line and encourages them to try another question.

What is the first step in finding the equation of a linear function?

• Determine the x-intercept

• Find two points on the line

• Identify the y-intercept

• Calculate the slope

Which form is used to express linear equations?

• Quadratic form

• Slope-intercept form

• Standard form

• Exponential form

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

• Constant term

• X-intercept

• Slope

• Y-intercept

How do you calculate the slope of a line?

• Difference of x and y

• Rise over run

• Run over rise

• Sum of x and y

If a line has a slope of 0, what can be said about the line?

• It is undefined

• It is vertical

• It is horizontal

• It is diagonal

What is the slope if the rise is -2 and the run is 3?

• -3/2

• 2/3

• 3/2

• -2/3

What does a negative rise indicate?

• The line is horizontal

• The line is vertical

• The line is increasing

• The line is decreasing

What happens to the slope if the run is negative?

• The slope becomes zero

• The slope remains unchanged

• The slope becomes negative

• The slope becomes positive

What is the effect of a positive slope on the direction of a line?

• The line goes downwards

• The line goes upwards

• The line remains flat

• The line becomes vertical

Where do you find the y-intercept 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