Point-Slope Form 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 is the slope of the line represented by the equation y + 3 = 4(x - 2)?

Back

The slope of the line is 4.

Front

Convert the point-slope equation y - 1 = -2(x + 3) to slope-intercept form.

Back

The slope-intercept form is y = -2x - 5.

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.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the equation of a line in point-slope form with a slope of 3 passing through the point (1, 2)?

Back

The equation is y - 2 = 3(x - 1).

Front

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

Back

To find the y-intercept, convert the point-slope equation to slope-intercept form (y = mx + b).

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 rises, while a negative slope falls.

Front

Write the point-slope form of the line with slope -5 that passes through the point (4, 3).

Back

The equation is y - 3 = -5(x - 4).