Algebra 1 Fall Final Review

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you calculate the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

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

Back

The solution is x = -5.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula for converting from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of line PQ is 5 and the slope of line JK is -1/5, what is the relationship between the two lines?

Back

The lines are perpendicular.