Slope of A Linear Equation

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by 'm'.

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you calculate the slope between 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 the term 'rate of change' refer to in the context of slope?

Back

The term 'rate of change' refers to how much the y-value changes for a given change in the x-value, which is represented by the slope.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the slope-intercept form.

Front

If a line has a slope of 3, what does this mean in practical terms?

Back

A slope of 3 means that for every 1 unit increase in x, the y-value increases by 3 units.