Slope and Y-Intercept

Front

What is the slope (m) in a linear equation?

Back

The slope (m) represents the rate of change of the y-value with respect to the x-value in a linear equation. It indicates how steep the line is.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

How can you find the y-intercept (b) from a linear equation in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, the y-intercept (b) is the constant term, which is the value of y when x = 0.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope occurs in a vertical line, indicating that the x-value does not change while the y-value can vary.

Front

What is the relationship between slope and steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line. A slope of 1 is less steep than a slope of 3.