Understanding Line Equations and Intercepts

The video tutorial explains how to find the value of K for a line passing through a point with given x and y intercepts. It starts by calculating the slope using the intercepts, then derives the equation of the line. By substituting the x-coordinate of the given point into the equation, the value of K is determined. Finally, the result is verified graphically.

What are the coordinates of the x-intercept of the line?

• (0, 0)

• (0, -6)

• (4, 0)

• (-3, K)

How do you calculate the slope of a line given two points?

• Multiply the x-coordinates by the y-coordinates

• Divide the difference in y-coordinates by the difference in x-coordinates

• Subtract the x-coordinates from the y-coordinates

• Add the x-coordinates and y-coordinates

What is the slope of the line in the problem?

• 2/3

• 3/2

• -3/2

• -2/3

What is the y-intercept of the line?

• (0, -6)

• (4, 0)

• (-3, K)

• (0, 0)

What is the equation of the line derived in the video?

• y = 3/2x + 6

• y = 2/3x - 6

• y = 3/2x - 6

• y = -3/2x + 6

What is the value of K when x = -3?

• -11.5

• -10.5

• -9.5

• -12.5