Slope and Slope-Intercept Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form of a linear equation.

Front

How do you calculate 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 is the slope-intercept form of a linear equation?

Back

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

Front

What does the 'b' represent in the slope-intercept form y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If a line has a slope of 4/5, what does this indicate about its direction?

Back

A slope of 4/5 indicates that for every 5 units moved horizontally to the right, the line moves up 4 units.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If m = 3 and b = 2, what is the slope-intercept equation?

Back

The equation is y = 3x + 2.

Front

In the equation y = 4x + 3, what does the 4 represent?

Back

The 4 represents the slope of the line.