Finding the Y-Intercept from Slope and Point

The video tutorial explains how to find the y-intercept of a line given its equation and a point through which it passes. By substituting the point (5, 8) into the equation y = 17/13x + b, the tutorial demonstrates the steps to solve for the y-intercept b. The process involves substituting the x and y values, simplifying the expression, and solving for b, resulting in the final line equation y = 17/13x + 19/13.

What is the given point through which the line passes?

• 3, 7

• 2, 4

• 5, 8

• 6, 9

What is the initial form of the line's equation?

• y = 17/13x + c

• y = 17/13x + b

• y = 13/17x + b

• y = 13/17x + c

What is the value of 5 times 17?

• 75

• 80

• 85

• 90

What is the simplified form of 8 in terms of 13?

• 19/13

• 8/13

• 85/13

• 104/13

What is the value of b after solving the equation?

• 85/13

• 17/13

• 104/13

• 19/13

What is the final equation of the line?

• y = 17/13x + 85/13

• y = 13/17x + 85/13

• y = 17/13x + 19/13

• y = 13/17x + 19/13