Writing Linear Equations from Slope and Y-Intercept

This video tutorial explains how to write linear equations in slope-intercept form, given the slope and y-intercept. It covers the basic formula y = mx + b, where m is the slope and b is the y-intercept. The video provides four examples, each demonstrating how to substitute the given slope and y-intercept into the formula to find the equation of a line. The examples include different combinations of positive and negative slopes and y-intercepts, illustrating the flexibility of the formula.

What is the general form of a linear equation in slope-intercept form?

• y = ax + b

• y = mx^2 + b

• y = ax^2 + bx + c

• y = mx + b

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

• The x-intercept

• The slope

• The constant term

• The y-intercept

Given a slope of 3 and a y-intercept of 5, what is the equation of the line?

• y = 5x - 3

• y = 3x - 5

• y = 5x + 3

• y = 3x + 5

If the slope is -4/3 and the y-intercept is -6, what is the equation of the line?

• y = 4/3x - 6

• y = -4/3x - 6

• y = 4/3x + 6

• y = -4/3x + 6

In the equation y = -4/3x - 6, what does -6 represent?

• The slope

• The y-intercept

• The x-intercept

• The constant term

What is the equation of the line with a slope of -1 and a y-intercept of 1/2?

• y = 1/2x - 1

• y = -x + 1/2

• y = x - 1/2

• y = -1/2x + 1

How can the equation y = -1x + 1/2 be simplified?

• y = -x + 1/2

• y = -1/2x + 1

• y = x + 1/2

• y = 1/2x - 1

What is the equation of the line with a slope of 2/3 and a y-intercept of 0?

• y = 2/3x

• y = 2/3x - 0

• y = 2/3x + 0

• y = 0x + 2/3

In the equation y = 2/3x, what happens to the y-intercept?

• It is undefined

• It is 0

• It is 1

• It is 2/3

Which of the following equations represents a line with a slope of 2/3?

• y = 2/3x

• y = -2/3x

• y = 2/3x + 1

• y = 3/2x