Point-Slope Form

Front

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

Back

Front

How do you identify the slope from a point-slope equation?

Back

Front

What does the point (x_1, y_1) represent in the point-slope form?

Back

The point (x_1, y_1) represents a specific point on the line described by the equation.

Front

How can you convert a point-slope equation to slope-intercept form?

Back

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the slope of a line that is vertical?

Back

A vertical line has an undefined slope because the change in x is 0, leading to division by zero.

Front

How do you determine if a point lies on a line given in point-slope form?

Back

Substitute the x and y coordinates of the point into the point-slope equation. If the equation holds true, the point lies on the line.

Front

Write the point-slope form of a line with slope 3 that passes through the point (1, 2).

Back

Front

What is the relationship between point-slope form and standard form?

Back

Point-slope form is useful for quickly writing equations from a point and slope, while standard form (Ax + By = C) is often used for graphing and analyzing lines.