HSPT 2

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you identify the y-intercept from the equation y = -2x + 8?

Back

The y-intercept is the value of y when x = 0. For y = -2x + 8, the y-intercept is 8.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

If a line has a slope of -2, what does this mean in terms of rise over run?

Back

A slope of -2 means that for every 1 unit you move to the right (run), you move down 2 units (rise).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How do you convert the equation y = -2x + 10 to standard form?

Back

To convert to standard form, rearrange to 2x + y = 10.