y = mx + b OR y = kx

Front

What does the equation y = mx + b represent?

Back

It represents the equation of a straight line in slope-intercept form, where m is the slope and b is the y-intercept.

Front

What is the slope (m) in the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept (b) in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the equation y = kx represent?

Back

It represents a direct variation, where k is the constant of variation, indicating that y varies directly with x.

Front

If k = 3 in the equation y = kx, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

What is the difference between y = mx + b and y = kx?

Back

y = mx + b includes a y-intercept (b), while y = kx passes through the origin (0,0) and has no y-intercept.

Front

How can you graph the equation y = mx + b?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising or falling and moving right.

Front

What does a slope of 0 mean in the equation y = mx + b?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, where x remains constant and y changes.