Writing Equations from Slope and Y-Intercept

The video tutorial focuses on writing equations in slope-intercept form, y = mx + b. It explains how to identify the slope (m) and y-intercept (b) from given information and use them to construct equations. The tutorial provides three examples with different slopes and y-intercepts, demonstrating how to handle positive and negative values. It concludes with practice exercises to reinforce the concepts learned.

What is the general form of the slope-intercept equation?

• b = my + x

• y = mx + b

• y = bx + m

• x = my + b

In the equation y = mx + b, what does 'm' represent?

• Constant

• X-intercept

• Slope

• Y-intercept

If a line has a slope of 1/2 and a y-intercept of 2, what is the equation?

• y = 2x + 1/2

• y = 1/2x + 2

• y = 2x - 1/2

• y = 1/2x - 2

How would you write the equation of a line with a slope of -1 and a y-intercept of -3?

• y = 1x + 3

• y = -1x - 3

• y = 1x - 3

• y = -1x + 3

What is the correct form of the equation y = 4x + (-1)?

• y = -4x - 1

• y = 4x - 1

• y = -4x + 1

• y = 4x + 1

If a line has a slope of 2 and a y-intercept of -4, what is the equation?

• y = -2x + 4

• y = 2x - 4

• y = -2x - 4

• y = 2x + 4

What does 'b' represent in the equation y = mx + b?

• Slope

• X-intercept

• Y-intercept

• Constant

How do you handle a negative y-intercept in the equation y = mx + b?

• Ignore the negative sign

• Subtract the positive value

• Add the negative value

• Multiply by -1

What is the equation of a line with a slope of 3 and a y-intercept of 0?

• y = 3x

• y = 3x + 0

• y = 0x + 3

• y = 3x - 0

What is the equation of a line with a slope of -2 and a y-intercept of 5?

• y = -2x + 5

• y = 2x + 5

• y = 2x - 5

• y = -2x - 5