Finding Slope and Y-Intercept from Linear Equations

This video tutorial explains how to find the slope and y-intercept of a line given its equation in the form ax + by = c. The instructor demonstrates how to rewrite the equation in slope-intercept form (y = mx + b) to easily identify the slope (m) and y-intercept (b). The process involves isolating the y variable and rearranging the equation. The tutorial provides a clear step-by-step guide to understanding and applying these concepts.

What is the general form of the equation given in the problem?

• ax - by = c

• y = ax + b

• y = mx + b

• ax + by = c

What is the purpose of converting the equation to slope-intercept form?

• To find the x-intercept

• To find the slope and y-intercept

• To find the roots of the equation

• To simplify the equation

What is the first step in converting the equation to slope-intercept form?

• Isolate the x variable

• Move the y variable to the other side

• Isolate the y variable

• Divide both sides by the coefficient of x

What happens to the 2x term when isolating the y variable?

• It is divided by the coefficient of y

• It is subtracted from both sides

• It is added to both sides

• It is moved to the other side of the equation

What is the resulting equation after moving the 2x term?

• y = a + 2x - 7

• y = a - 2x - 7

• y = a + 2x + 7

• y = a - 2x + 7

What is the slope (m) in the equation y = a - 2x + 7?

• -2

• a

• 2

• 7

What is the y-intercept (b) in the equation y = a - 2x + 7?

• 0

• 7

• -2

• a

What does the y-intercept represent in the context of the equation?

• The value of y when x is 1

• The value of x when y is 0

• The value of x when y is 1

• The value of y when x is 0