Slope-Intercept Equations from Graphs

The video tutorial explains how any linear equation can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept. It demonstrates how to verify the y-intercept by substituting x = 0 and explains the concept of slope using examples. The tutorial also covers graphing linear equations by identifying slopes and y-intercepts, analyzing line equations, and graphing various lines to understand their properties.

What is the general form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

• y = mx^2 + b

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

• The y-intercept

• The constant term

• The slope of the line

• The x-intercept

How can you verify the y-intercept 'b' in the equation y = mx + b?

• By setting m to 0

• By setting x to 0

• By setting y to 0

• By setting b to 0

What is the slope of the line passing through the points (0, b) and (1, m + b)?

• b

• m

• m + b

• 1

What is the slope of line A if delta x is 3 and delta y is -2?

• -2/3

• 3/2

• 2/3

• -3/2

What is the y-intercept of line B if the equation is y = 3x + 1?

• -1

• 0

• 1

• 3

What is the equation of line C if its slope is 1/2 and y-intercept is -2?

• y = 1/2x - 2

• y = -1/2x + 2

• y = 1/2x + 2

• y = 2x - 1

If the y-intercept of a line is 5 and the slope is 2, what is the equation of the line?

• y = -2x + 5

• y = 2x - 5

• y = 5x + 2

• y = 2x + 5

What is the slope of the line y = -0.2x + 7?

• -0.2

• 0.2

• -5

• 5

What is the equation of a horizontal line passing through y = 3.75?

• y = 3.75x

• y = 0x + 3.75

• y = 3.75x + 0

• x = 3.75