Understanding Linear Equations and Slopes

The video tutorial explains how to write equations of lines in both slope-intercept and standard forms. It begins with an introduction to line equations, followed by a detailed explanation of the slope-intercept form, including how to find the slope and y-intercept. The tutorial then demonstrates how to write an equation in slope-intercept form and convert it to standard form, ensuring the equation is parallel to a given line and passes through a specific point.

What is the standard form of a line equation?

• y = mx + b

• ax + by = c

• x = ay + b

• y = ax + c

In the slope-intercept form y = mx + b, what does 'm' represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

What is the first step to find the slope of a line given in standard form?

• Convert it to slope-intercept form

• Multiply by a constant

• Find the y-intercept

• Add the x and y terms

If a line is parallel to another, what can be said about their slopes?

• They are zero

• They are undefined

• They are negative reciprocals

• They are equal

What is the purpose of isolating 'y' in the equation 2x - y = -5?

• To find the y-intercept

• To find the constant term

• To find the x-intercept

• To find the slope

What is the slope of the line 2x - y = -5?

• 2

• -2

• 5

• -5

What is the slope of a line parallel to y = 2x + 5?

• -5

• -2

• 2

• 5

What is the first step in solving for y in the equation 2x - y = -5?

• Add 5 to both sides

• Multiply by -1

• Add y to both sides

• Subtract 2x from both sides

What is the result of dividing an equation by -1?

• It changes the x-intercept

• It changes the slope

• It changes all the signs

• It changes the y-intercept

What is the slope of the line y = 2x + 5?

• 2

• -2

• 5

• -5