Review: Slopes and Slope Intercept Form of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a line equation (y = mx + b). It indicates how much 'y' changes for a unit change in 'x'.

Front

What is the slope-intercept form of a line?

Back

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

Front

In the equation y = -5x + 7, what does -5 represent?

Back

In the equation y = -5x + 7, -5 represents the slope of the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form (y = mx + b).

Front

In the equation y = -4x - 5, what is the y-intercept?

Back

The y-intercept in the equation y = -4x - 5 is -5.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

In the equation y = 2/3x + 6, what does 6 represent?

Back

In the equation y = 2/3x + 6, 6 represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the slope of the equation y = 2x + 3?

Back

The slope of the equation y = 2x + 3 is 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as 'x' increases, 'y' 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 'x' increases, 'y' decreases, meaning the line falls from left to right.