Understanding Linear Functions

The video tutorial explains how to determine the equation of a linear function with a given slope of -2/5 that passes through the point (-5, 6). It demonstrates both graphical and algebraic methods to find the equation in slope-intercept form, y = -2/5x + 4. The graphical method involves plotting the point and using the slope to find another point on the line, while the algebraic method uses substitution to solve for the y-intercept. Both methods confirm the same equation.

What is the slope of the linear function discussed in the video?

• -5/2

• 5/2

• -2/5

• 2/5

Which point does the line pass through as given in the problem?

• (6, -5)

• (-6, 5)

• (-5, 6)

• (5, -6)

In the graphical approach, what is the y-intercept of the line?

• (0, -2)

• (0, 2)

• (0, -4)

• (0, 4)

How do you find a second point on the line using the slope?

• Go down 5 units and left 2 units

• Go down 2 units and right 5 units

• Go up 5 units and right 2 units

• Go up 2 units and left 5 units

What is the equation of the line in slope-intercept form?

• y = -2/5x + 4

• y = 2/5x - 4

• y = 2/5x + 4

• y = -2/5x - 4

In the algebraic approach, what value of 'b' is found after substituting the point into the equation?

• -4

• 4

• -2

• 2

What operation is performed to isolate 'b' in the algebraic method?

• Add 2 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

What is the result of multiplying -2 by -1 in the algebraic approach?

• 2

• -1

• -2

• 0

Which method confirmed the y-intercept as 4?

• Neither method

• Graphical method only

• Algebraic method only

• Both graphical and algebraic methods

What is the main takeaway from the video?

• Graphical methods are more accurate than algebraic methods

• Algebraic methods are more accurate than graphical methods

• Both methods can be used to find the equation of a line

• Neither method is useful for finding the equation of a line