Point Slope Practice

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

In the point-slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

What does the point (x1, y1) represent in the point-slope form?

Back

The point (x1, y1) 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

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

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

Given the point (3, 4) and slope 2, write the point-slope form of the equation.

Back

The point-slope form is y - 4 = 2(x - 3).

Front

How do you find a point on a line given its equation in point-slope form?

Back

To find a point on the line, you can choose any value for x and solve for y using the equation.

Front

What is the relationship between point-slope form and standard form of a linear equation?

Back

Point-slope form (y - y1 = m(x - x1)) can be converted to standard form (Ax + By = C) by rearranging the equation.

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 passes through the points (1, 2) and (3, 6)?

Back

The slope m is calculated as (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 4 / 2 = 2.