Finding the Equation of a Line from a Graph

Mr. B explains how to find the equation of a line in slope-intercept form (Y = MX + B). He covers identifying the Y-intercept and calculating the slope using the rise over run method. The video includes examples with both positive and negative slopes and offers tips for verifying the slope's sign. This tutorial is aimed at grade 9 and 10 students and provides a clear, step-by-step approach to solving these types of math problems.

What is the most common form of the equation of a line?

• y = mx + b

• x = my + b

• Ax + By = C

• y - y1 = m(x - x1)

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

• The y-intercept

• The origin

• The x-intercept

• The slope

Where can you find the y-intercept on a graph?

• At the origin

• Where the line crosses the x-axis

• Where the line crosses the y-axis

• At the highest point of the line

What is the formula for slope?

• Rise over run

• Run over rise

• Run times rise

• Rise minus run

If a line goes up 4 units and right 2 units, what is the slope?

• 8

• 2

• 4

• 1/2

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

• y = 2x - 2

• y = -2x - 2

• y = -2x + 2

• y = 2x + 2

In the second example, what is the y-intercept?

• 2

• 4

• 8

• -8

If a line goes down 8 units and right 4 units, what is the slope?

• -1/2

• 2

• 1/2

• -2

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

• It goes down to the left

• It goes up to the left

• It goes up to the right

• It goes down to the right

What is a good way to check if your slope calculation is correct?

• Check the direction of the line

• Check if the line is vertical

• Check if the line goes through the origin

• Check if the line is horizontal